157973520 has 160 divisors (see below), whose sum is σ = 535680000. Its totient is φ = 38338560.

The previous prime is 157973513. The next prime is 157973561. The reversal of 157973520 is 25379751.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125856 + ... + 127104.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^157973520 is an apocalyptic number.

157973520 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 157973520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

157973520 is an abundant number, since it is smaller than the sum of its proper divisors (377706480).

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

157973520 is a wasteful number, since it uses less digits than its factorization.

157973520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 157973520 is about 12568.7517279959. The cubic root of 157973520 is about 540.5818146087.

The spelling of 157973520 in words is "one hundred fifty-seven million, nine hundred seventy-three thousand, five hundred twenty".