157113 has 24 divisors (see below), whose sum is σ = 265440. Its totient is φ = 91080.

The previous prime is 157109. The next prime is 157127. The reversal of 157113 is 311751.

It is a happy number.

It is not a de Polignac number, because 157113 - 2² = 157109 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (157103) 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, 6820 + ... + 6842.

It is an arithmetic number, because the mean of its divisors is an integer number (11060).

2¹⁵⁷¹¹³ is an apocalyptic number.

It is an amenable number.

157113 is a deficient number, since it is larger than the sum of its proper divisors (108327).

157113 is a wasteful number, since it uses less digits than its factorization.

157113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

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

The square root of 157113 is about 396.3748226111. The cubic root of 157113 is about 53.9598466934.

Adding to 157113 its reverse (311751), we get a palindrome (468864).

The spelling of 157113 in words is "one hundred fifty-seven thousand, one hundred thirteen".