157291056 has 120 divisors (see below), whose sum is σ = 480969216. Its totient is φ = 47692800.

The previous prime is 157291051. The next prime is 157291067. The reversal of 157291056 is 650192751.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 157291056.

It is not an unprimeable number, because it can be changed into a prime (157291051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136081 + ... + 137231.

Almost surely, 2^157291056 is an apocalyptic number.

157291056 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 157291056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240484608).

157291056 is an abundant number, since it is smaller than the sum of its proper divisors (323678160).

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

157291056 is a wasteful number, since it uses less digits than its factorization.

157291056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 157291056 is about 12541.5731070707. The cubic root of 157291056 is about 539.8022321057.

The spelling of 157291056 in words is "one hundred fifty-seven million, two hundred ninety-one thousand, fifty-six".