157912164 has 36 divisors (see below), whose sum is σ = 405716220. Its totient is φ = 51773760.

The previous prime is 157912159. The next prime is 157912177. The reversal of 157912164 is 461219751.

157912164 is a `hidden beast` number, since 1 + 579 + 1 + 21 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37088100 + 120824064 = 6090^2 + 10992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33759 + ... + 38150.

It is an arithmetic number, because the mean of its divisors is an integer number (11269895).

Almost surely, 2^157912164 is an apocalyptic number.

It is an amenable number.

157912164 is an abundant number, since it is smaller than the sum of its proper divisors (247804056).

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

157912164 is a wasteful number, since it uses less digits than its factorization.

157912164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71980 (or 71975 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 157912164 is about 12566.3106757712. The cubic root of 157912164 is about 540.5118192643.

It can be divided in two parts, 15791 and 2164, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 157912164 in words is "one hundred fifty-seven million, nine hundred twelve thousand, one hundred sixty-four".