157131 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 89856.

The previous prime is 157127. The next prime is 157133. The reversal of 157131 is 131751.

It is a happy number.

It is not a de Polignac number, because 157131 - 2² = 157127 is a prime.

It is a super-2 number, since 2×157131² = 49380302322, which contains 22 as substring.

157131 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1950 + ... + 2028.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹⁵⁷¹³¹ is an apocalyptic number.

157131 is a deficient number, since it is larger than the sum of its proper divisors (104949).

157131 is a wasteful number, since it uses less digits than its factorization.

157131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 157131 is about 396.3975277420. The cubic root of 157131 is about 53.9619072913.

Adding to 157131 its reverse (131751), we get a palindrome (288882).

The spelling of 157131 in words is "one hundred fifty-seven thousand, one hundred thirty-one".