157347936 has 72 divisors (see below), whose sum is σ = 449513064. Its totient is φ = 52208640.

The previous prime is 157347919. The next prime is 157347941. The reversal of 157347936 is 639743751.

157347936 is a `hidden beast` number, since 1 + 573 + 4 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 157347891 and 157347900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68275 + ... + 70541.

It is an arithmetic number, because the mean of its divisors is an integer number (6243237).

Almost surely, 2^157347936 is an apocalyptic number.

157347936 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 157347936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224756532).

157347936 is an abundant number, since it is smaller than the sum of its proper divisors (292165128).

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

157347936 is a wasteful number, since it uses less digits than its factorization.

157347936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2513 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 157347936 is about 12543.8405602112. The cubic root of 157347936 is about 539.8672924921.

The spelling of 157347936 in words is "one hundred fifty-seven million, three hundred forty-seven thousand, nine hundred thirty-six".