157831920 has 120 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 40631808.

The previous prime is 157831871. The next prime is 157831931. The reversal of 157831920 is 29138751.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17101 + ... + 24659.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^157831920 is an apocalyptic number.

157831920 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 157831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

157831920 is an abundant number, since it is smaller than the sum of its proper divisors (390570480).

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

157831920 is a wasteful number, since it uses less digits than its factorization.

157831920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 157831920 is about 12563.1174475128. The cubic root of 157831920 is about 540.4202489927.

The spelling of 157831920 in words is "one hundred fifty-seven million, eight hundred thirty-one thousand, nine hundred twenty".