157088160 has 480 divisors, whose sum is σ = 632282112. Its totient is φ = 36495360.

The previous prime is 157088119. The next prime is 157088161. The reversal of 157088160 is 61880751.

157088160 is a `hidden beast` number, since 1 + 570 + 8 + 81 + 6 + 0 = 666.

157088160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (157088161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5067345 + ... + 5067375.

Almost surely, 2^157088160 is an apocalyptic number.

157088160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316141056).

157088160 is an abundant number, since it is smaller than the sum of its proper divisors (475193952).

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

157088160 is a wasteful number, since it uses less digits than its factorization.

157088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 157088160 is about 12533.4815594072. The cubic root of 157088160 is about 539.5700280986.

The spelling of 157088160 in words is "one hundred fifty-seven million, eighty-eight thousand, one hundred sixty".