157 (number)
# 157 (number)

157 (one hundred [and] fifty-seven) is the number following 156 and preceding 158.

## In mathematics

157 is:

* the 37th prime number. The next prime is 163 and the previous prime is 151.
* a balanced prime, because the arithmetic mean of those primes yields 157.
* an emirp.
* a Chen prime.
* the largest known prime p which ${\frac {p^{p}+1}{p+1}}$ is also prime. (see OEIS: A056826).
* the least irregular prime with index 2.
* a palindromic number in bases 7 $(313_7)$ and 12 $(111_{12}).$
* a repunit in base 12, so it is a unique prime in the same base.
* a prime whose digits sum to a prime. (see OEIS: A046704).
* a prime index prime.

In base 10, $157^2$ is 24649, and $158^2$ is 24964, which uses the same digits. Numbers having this property are listed in OEIS: A072841. The previous entry is 13, and the next entry after 157 is 913.

The simplest right angle triangle with rational sides that has area 157 has the longest side with a denominator of 45 digits.

## In the military

* USCGC Cuyahoga (WIX-157) was a United States Coast Guard cutter built in 1926
* USNS Paoli (T-AO-157) was a United States Navy Type T2 tanker during World War II
* USS Alcona (AK-157) was a United States Navy Alamosa-class cargo ship during World War II
* USS Caravan (AM-157) was a United States Navy Admirable-class minesweeper during World War II
* USS Dickerson (DD-157) was a United States Navy Wickes-class destroyer during World War II
* USS Fechteler (DE-157) was a United States Navy Buckley-class destroyer escort during World War II
* USS General C. C. Ballou (AP-157) was a United States Navy General G. O. Squier-class transport ship during World War II
* USS King County (AG-157) was a United States Navy LST-542-class tank landing ship during World War II
* USS Napa (APA-157) was a United States Navy ship during World War II
* USS Orvetta (IX-157) was a United States Navy transport military ship during World War II
* USS Remlik (SP-157) was a United States Navy yacht during World War I
* ZIL-157 is a 2.5-ton truck produced in post-World War II Russia

## In music

* "157 Riverside Avenue" is a song by REO Speedwagon from their debut album, REO Speedwagon in 1971. Its title refers to a Westport, Connecticut address where the band stayed while recording it.
* Piano Sonata No. 1 in E major, D. 157 is a piano sonata in three movements by Franz Schubert.
* "157" is a song by Tom Rosenthal where the lyrics merely consist of the numbers from 1 to 157. The song was released on April Fools' Day, 2020.

## In sports

* Ken Carpenter held the US record in discus, and won the NCAA national title with a toss of 157 feet in 1936.
* Steph Curry of the Golden State Warriors holds the NBA record for 157 consecutive games with a 3-point field goal made (from November 13, 2014 to November 4, 2016).

## In transportation

* The British Rail Class 157 was the designation for a range of Diesel multiple unit trains of the Sprinter family
* London Buses route 157
* American Airlines Flight 157 from New York City bound for Mexico City crashed on November 29, 1949
* 157th Street (IRT Broadway – Seventh Avenue Line), a New York City Subway station at Broadway in Manhattan served by the 1 train
* 157th Street (Manhattan), a street in New York City

## In other fields

157 is also:

* The year AD 157 or 157 BC
* 157 AH is a year in the Islamic calendar that corresponds to 773–774 CE
* The atomic number of an element temporarily called Unpentseptium.
* 157 Dejanira is a main belt asteroid
* O157, Escherichia coli O157:H7
* Financial Accounting Standards Board Statement No. 157 defines fair value
* South Qu'appelle No. 157, Saskatchewan is a rural municipality in Saskatchewan, Canada
* United States Department of State Form DS-157 is Supplemental Nonimmigrant Visa Application
* One57, a partially completed skyscraper at 157 West 57th Street in New York City, on which the crane partially collapsed during Hurricane Sandy
