157204368 has 80 divisors (see below), whose sum is σ = 455744640. Its totient is φ = 51878016.

The previous prime is 157204367. The next prime is 157204403. The reversal of 157204368 is 863402751.

157204368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (157204361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42730 + ... + 46262.

It is an arithmetic number, because the mean of its divisors is an integer number (5696808).

Almost surely, 2^157204368 is an apocalyptic number.

157204368 is a gapful number since it is divisible by the number (18) 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 157204368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227872320).

157204368 is an abundant number, since it is smaller than the sum of its proper divisors (298540272).

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

157204368 is a wasteful number, since it uses less digits than its factorization.

157204368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 157204368 is about 12538.1166049770. The cubic root of 157204368 is about 539.7030466077.

The spelling of 157204368 in words is "one hundred fifty-seven million, two hundred four thousand, three hundred sixty-eight".