157920 has 96 divisors (see below), whose sum is σ = 580608. Its totient is φ = 35328.

The previous prime is 157907. The next prime is 157931. The reversal of 157920 is 29751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3337 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹⁵⁷⁹²⁰ is an apocalyptic number.

157920 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 157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

157920 is an abundant number, since it is smaller than the sum of its proper divisors (422688).

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

157920 is a wasteful number, since it uses less digits than its factorization.

157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 157920 is about 397.3914946246. The cubic root of 157920 is about 54.0520759636.

The spelling of 157920 in words is "one hundred fifty-seven thousand, nine hundred twenty".