157992960 has 192 divisors, whose sum is σ = 522849600. Its totient is φ = 40697856.

The previous prime is 157992949. The next prime is 157992971. The reversal of 157992960 is 69299751.

It is an interprime number because it is at equal distance from previous prime (157992949) and next prime (157992971).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136571 + ... + 1136709.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^157992960 is an apocalyptic number.

157992960 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 157992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

157992960 is an abundant number, since it is smaller than the sum of its proper divisors (364856640).

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

157992960 is a wasteful number, since it uses less digits than its factorization.

157992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The square root of 157992960 is about 12569.5250506930. The cubic root of 157992960 is about 540.6039881127.

The spelling of 157992960 in words is "one hundred fifty-seven million, nine hundred ninety-two thousand, nine hundred sixty".