157921920 has 512 divisors, whose sum is σ = 651168000. Its totient is φ = 35831808.

The previous prime is 157921903. The next prime is 157921943. The reversal of 157921920 is 29129751.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4268142 + ... + 4268178.

Almost surely, 2^157921920 is an apocalyptic number.

157921920 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 157921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584000).

157921920 is an abundant number, since it is smaller than the sum of its proper divisors (493246080).

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

157921920 is a wasteful number, since it uses less digits than its factorization.

157921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 157921920 is about 12566.6988505335. The cubic root of 157921920 is about 540.5229501879.

The spelling of 157921920 in words is "one hundred fifty-seven million, nine hundred twenty-one thousand, nine hundred twenty".