157512960 has 324 divisors, whose sum is σ = 604326996. Its totient is φ = 37847040.

The previous prime is 157512937. The next prime is 157512961. The reversal of 157512960 is 69215751.

157512960 is a `hidden beast` number, since 1 + 57 + 512 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 134931456 = 4752^2 + 11616^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 not an unprimeable number, because it can be changed into a prime (157512961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393864 + ... + 1393976.

Almost surely, 2^157512960 is an apocalyptic number.

157512960 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 157512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302163498).

157512960 is an abundant number, since it is smaller than the sum of its proper divisors (446814036).

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

157512960 is a wasteful number, since it uses less digits than its factorization.

157512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 157512960 is about 12550.4167261490. The cubic root of 157512960 is about 540.0559612786.

It can be divided in two parts, 1575 and 12960, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 157512960 in words is "one hundred fifty-seven million, five hundred twelve thousand, nine hundred sixty".