157642560 has 168 divisors, whose sum is σ = 547762176. Its totient is φ = 41610240.

The previous prime is 157642523. The next prime is 157642561. The reversal of 157642560 is 65246751.

It is a happy number.

157642560 is a `hidden beast` number, since 1 + 5 + 7 + 642 + 5 + 6 + 0 = 666.

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 (157642561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365545 + ... + 365975.

Almost surely, 2^157642560 is an apocalyptic number.

157642560 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 157642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

157642560 is an abundant number, since it is smaller than the sum of its proper divisors (390119616).

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

157642560 is a wasteful number, since it uses less digits than its factorization.

157642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 157642560 is about 12555.5788397031. The cubic root of 157642560 is about 540.2040381212.

The spelling of 157642560 in words is "one hundred fifty-seven million, six hundred forty-two thousand, five hundred sixty".