157095936 has 120 divisors (see below), whose sum is σ = 469729260. Its totient is φ = 52310016.

The previous prime is 157095931. The next prime is 157095959. The reversal of 157095936 is 639590751.

157095936 is a `hidden beast` number, since 1 + 57 + 0 + 9 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157095891 and 157095900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157095931) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165415 + ... + 166361.

Almost surely, 2^157095936 is an apocalyptic number.

157095936 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 157095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234864630).

157095936 is an abundant number, since it is smaller than the sum of its proper divisors (312633324).

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

157095936 is an frugal number, since it uses more digits than its factorization.

157095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 952 counting only the distinct ones).

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

The square root of 157095936 is about 12533.7917646656. The cubic root of 157095936 is about 539.5789310129.

The spelling of 157095936 in words is "one hundred fifty-seven million, ninety-five thousand, nine hundred thirty-six".