157077504 has 78 divisors (see below), whose sum is σ = 453830546. Its totient is φ = 52346880.

The previous prime is 157077497. The next prime is 157077509. The reversal of 157077504 is 405770751.

157077504 is a `hidden beast` number, since 15 + 70 + 77 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155750400 + 1327104 = 12480^2 + 1152^2 .

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 (157077509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34734 + ... + 38994.

Almost surely, 2^157077504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226915273).

157077504 is an abundant number, since it is smaller than the sum of its proper divisors (296753042).

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

157077504 is an equidigital number, since it uses as much as digits as its factorization.

157077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 157077504 is about 12533.0564508423. The cubic root of 157077504 is about 539.5578273313.

The spelling of 157077504 in words is "one hundred fifty-seven million, seventy-seven thousand, five hundred four".