157235904 has 210 divisors, whose sum is σ = 543069780. Its totient is φ = 44851968.

The previous prime is 157235807. The next prime is 157235909. The reversal of 157235904 is 409532751.

157235904 is digitally balanced in base 2, 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 (157235909) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253707 + ... + 254325.

Almost surely, 2^157235904 is an apocalyptic number.

157235904 is a gapful number since it is divisible by the number (14) 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 157235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271534890).

157235904 is an abundant number, since it is smaller than the sum of its proper divisors (385833876).

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

157235904 is an equidigital number, since it uses as much as digits as its factorization.

157235904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 157235904 is about 12539.3741470617. The cubic root of 157235904 is about 539.7391332583.

The spelling of 157235904 in words is "one hundred fifty-seven million, two hundred thirty-five thousand, nine hundred four".