157807936 has 112 divisors (see below), whose sum is σ = 377391168. Its totient is φ = 64512000.

The previous prime is 157807933. The next prime is 157807963. The reversal of 157807936 is 639708751.

157807936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157807933) 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, 393336 + ... + 393736.

It is an arithmetic number, because the mean of its divisors is an integer number (3369564).

Almost surely, 2^157807936 is an apocalyptic number.

157807936 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 157807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188695584).

157807936 is an abundant number, since it is smaller than the sum of its proper divisors (219583232).

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

157807936 is a wasteful number, since it uses less digits than its factorization.

157807936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 157807936 is about 12562.1628710983. The cubic root of 157807936 is about 540.3928736772.

It can be divided in two parts, 15780 and 7936, that added together give a square (23716 = 154²).

The spelling of 157807936 in words is "one hundred fifty-seven million, eight hundred seven thousand, nine hundred thirty-six".