157059936 has 108 divisors (see below), whose sum is σ = 491042916. Its totient is φ = 47583360.

The previous prime is 157059913. The next prime is 157059967. The reversal of 157059936 is 639950751.

157059936 is a `hidden beast` number, since 1 + 57 + 0 + 599 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157059891 and 157059900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32595 + ... + 37101.

Almost surely, 2^157059936 is an apocalyptic number.

157059936 is a gapful number since it is divisible by the number (16) 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 157059936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245521458).

157059936 is an abundant number, since it is smaller than the sum of its proper divisors (333982980).

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

157059936 is a wasteful number, since it uses less digits than its factorization.

157059936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 157059936 is about 12532.3555646973. The cubic root of 157059936 is about 539.5377113481.

The spelling of 157059936 in words is "one hundred fifty-seven million, fifty-nine thousand, nine hundred thirty-six".