157255920 has 120 divisors (see below), whose sum is σ = 542483136. Its totient is φ = 40794624.

The previous prime is 157255907. The next prime is 157255961. The reversal of 157255920 is 29552751.

157255920 is a `hidden beast` number, since 15 + 72 + 559 + 20 = 666.

157255920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 23689 + ... + 29591.

Almost surely, 2^157255920 is an apocalyptic number.

157255920 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 157255920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271241568).

157255920 is an abundant number, since it is smaller than the sum of its proper divisors (385227216).

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

157255920 is a wasteful number, since it uses less digits than its factorization.

157255920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 157255920 is about 12540.1722476208. The cubic root of 157255920 is about 539.7620350677.

The spelling of 157255920 in words is "one hundred fifty-seven million, two hundred fifty-five thousand, nine hundred twenty".