157008564 has 24 divisors (see below), whose sum is σ = 407059520. Its totient is φ = 52336152.

The previous prime is 157008547. The next prime is 157008587. The reversal of 157008564 is 465800751.

157008564 is a `hidden beast` number, since 1 + 570 + 0 + 85 + 6 + 4 = 666.

157008564 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 726784 + ... + 726999.

Almost surely, 2^157008564 is an apocalyptic number.

It is an amenable number.

157008564 is an abundant number, since it is smaller than the sum of its proper divisors (250050956).

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

157008564 is a wasteful number, since it uses less digits than its factorization.

157008564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453796 (or 1453788 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157008564 is about 12530.3058222854. The cubic root of 157008564 is about 539.4788799777.

The spelling of 157008564 in words is "one hundred fifty-seven million, eight thousand, five hundred sixty-four".