157164 has 24 divisors (see below), whose sum is σ = 419328. Its totient is φ = 44880.

The previous prime is 157163. The next prime is 157177. The reversal of 157164 is 461751.

It is not an unprimeable number, because it can be changed into a prime (157163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2¹⁵⁷¹⁶⁴ is an apocalyptic number.

157164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157164 is an abundant number, since it is smaller than the sum of its proper divisors (262164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157164 is a wasteful number, since it uses less digits than its factorization.

157164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1883 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 157164 is about 396.4391504380. The cubic root of 157164 is about 53.9656846454.

The spelling of 157164 in words is "one hundred fifty-seven thousand, one hundred sixty-four".