157157 has 16 divisors (see below), whose sum is σ = 212352. Its totient is φ = 112320.

The previous prime is 157141. The next prime is 157163. The reversal of 157157 is 751751.

It is not a de Polignac number, because 157157 - 2⁴ = 157141 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (13272).

2¹⁵⁷¹⁵⁷ is an apocalyptic number.

It is an amenable number.

157157 is a deficient number, since it is larger than the sum of its proper divisors (55195).

157157 is a wasteful number, since it uses less digits than its factorization.

157157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 1225, while the sum is 26.

The square root of 157157 is about 396.4303217465. The cubic root of 157157 is about 53.9648834327.

The spelling of 157157 in words is "one hundred fifty-seven thousand, one hundred fifty-seven".