157157056 has 112 divisors (see below), whose sum is σ = 386080000. Its totient is φ = 61959168.

The previous prime is 157157047. The next prime is 157157057. The reversal of 157157056 is 650751751.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (157157057) 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 15 ways as a sum of consecutive naturals, for example, 314695 + ... + 315193.

Almost surely, 2^157157056 is an apocalyptic number.

157157056 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 157157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193040000).

157157056 is an abundant number, since it is smaller than the sum of its proper divisors (228922944).

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

157157056 is a wasteful number, since it uses less digits than its factorization.

157157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 37.

The square root of 157157056 is about 12536.2297362485. The cubic root of 157157056 is about 539.6488984249.

The spelling of 157157056 in words is "one hundred fifty-seven million, one hundred fifty-seven thousand, fifty-six".