157913712 has 300 divisors, whose sum is σ = 538793640. Its totient is φ = 44478720.

The previous prime is 157913711. The next prime is 157913773. The reversal of 157913712 is 217319751.

157913712 is a `hidden beast` number, since 1 + 579 + 13 + 71 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157913711) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2979478 + ... + 2979530.

Almost surely, 2^157913712 is an apocalyptic number.

157913712 is a gapful number since it is divisible by the number (12) 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 157913712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269396820).

157913712 is an abundant number, since it is smaller than the sum of its proper divisors (380879928).

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

157913712 is a wasteful number, since it uses less digits than its factorization.

157913712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 157913712 is about 12566.3722688770. The cubic root of 157913712 is about 540.5135854562.

It can be divided in two parts, 15791 and 3712, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 157913712 in words is "one hundred fifty-seven million, nine hundred thirteen thousand, seven hundred twelve".