157134384 has 160 divisors (see below), whose sum is σ = 504134400. Its totient is φ = 46448640.

The previous prime is 157134379. The next prime is 157134391. The reversal of 157134384 is 483431751.

It is a happy number.

157134384 is a `hidden beast` number, since 1 + 571 + 3 + 4 + 3 + 84 = 666.

157134384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (40320) is a multiple of the sum of its prime factors (840).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203952 + ... + 204720.

It is an arithmetic number, because the mean of its divisors is an integer number (3150840).

Almost surely, 2^157134384 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 157134384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

157134384 is an abundant number, since it is smaller than the sum of its proper divisors (347000016).

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

157134384 is a wasteful number, since it uses less digits than its factorization.

157134384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

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

The square root of 157134384 is about 12535.3254445188. The cubic root of 157134384 is about 539.6229466615.

The spelling of 157134384 in words is "one hundred fifty-seven million, one hundred thirty-four thousand, three hundred eighty-four".