157113936 has 120 divisors (see below), whose sum is σ = 509134080. Its totient is φ = 44299008.

The previous prime is 157113919. The next prime is 157113953. The reversal of 157113936 is 639311751.

157113936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157113919) and next prime (157113953).

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

It is a self number, because there is not a number n which added to its sum of digits gives 157113936.

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, 78646 + ... + 80618.

It is an arithmetic number, because the mean of its divisors is an integer number (4242784).

Almost surely, 2^157113936 is an apocalyptic number.

157113936 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 157113936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254567040).

157113936 is an abundant number, since it is smaller than the sum of its proper divisors (352020144).

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

157113936 is a wasteful number, since it uses less digits than its factorization.

157113936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2064 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 157113936 is about 12534.5098029400. The cubic root of 157113936 is about 539.5995384839.

The spelling of 157113936 in words is "one hundred fifty-seven million, one hundred thirteen thousand, nine hundred thirty-six".