157 (number)
title: "157 (number)" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["integers"] topic_path: "general/integers" source: "https://en.wikipedia.org/wiki/157_(number)" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0
::data[format=table title="Infobox number"]
| Field | Value |
|---|---|
| number | 157 |
| factorization | prime |
| prime | 37th |
| divisor | 1, 157 |
| :: |
| number = 157 | factorization=prime | prime=37th | divisor = 1, 157
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 ).
- the least irregular prime with index 2.
- a palindromic number in bases 7 (3137) and 12 (11112).
- a repunit in base 12, so it is a unique prime in the same base
- a prime whose digits sum to a prime. (see )
- a prime index prime
- a super-prime (37 is prime) In base 10, 1572 is 24649, and 1582 is 24964, which uses the same digits. Numbers having this property are listed in . 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 music
- "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.
References
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