157188960 has 72 divisors (see below), whose sum is σ = 536412240. Its totient is φ = 41916672.

The previous prime is 157188949. The next prime is 157188973. The reversal of 157188960 is 69881751.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 53140 + ... + 56019.

It is an arithmetic number, because the mean of its divisors is an integer number (7450170).

Almost surely, 2^157188960 is an apocalyptic number.

157188960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157188960 is an abundant number, since it is smaller than the sum of its proper divisors (379223280).

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

157188960 is a wasteful number, since it uses less digits than its factorization.

157188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109180 (or 109169 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 157188960 is about 12537.5021435691. The cubic root of 157188960 is about 539.6854134755.

The spelling of 157188960 in words is "one hundred fifty-seven million, one hundred eighty-eight thousand, nine hundred sixty".