157012992 has 132 divisors (see below), whose sum is σ = 470908256. Its totient is φ = 52254720.

The previous prime is 157012991. The next prime is 157012993. The reversal of 157012992 is 299210751.

It is an interprime number because it is at equal distance from previous prime (157012991) and next prime (157012993).

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 (157012991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248517 + ... + 249147.

Almost surely, 2^157012992 is an apocalyptic number.

157012992 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 157012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235454128).

157012992 is an abundant number, since it is smaller than the sum of its proper divisors (313895264).

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

157012992 is an frugal number, since it uses more digits than its factorization.

157012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 157012992 is about 12530.4825126569. The cubic root of 157012992 is about 539.4839514421.

The spelling of 157012992 in words is "one hundred fifty-seven million, twelve thousand, nine hundred ninety-two".