157107384 has 128 divisors (see below), whose sum is σ = 516096000. Its totient is φ = 43327872.

The previous prime is 157107359. The next prime is 157107397. The reversal of 157107384 is 483701751.

157107384 is a `hidden beast` number, since 1 + 571 + 0 + 7 + 3 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42057 + ... + 45639.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2^157107384 is an apocalyptic number.

157107384 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 157107384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

157107384 is an abundant number, since it is smaller than the sum of its proper divisors (358988616).

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

157107384 is a wasteful number, since it uses less digits than its factorization.

157107384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 157107384 is about 12534.2484417695. The cubic root of 157107384 is about 539.5920375467.

The spelling of 157107384 in words is "one hundred fifty-seven million, one hundred seven thousand, three hundred eighty-four".