157138176 has 72 divisors (see below), whose sum is σ = 450415840. Its totient is φ = 48347136.

The previous prime is 157138171. The next prime is 157138217. The reversal of 157138176 is 671831751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157138171) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2115 + ... + 17853.

Almost surely, 2^157138176 is an apocalyptic number.

157138176 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 157138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225207920).

157138176 is an abundant number, since it is smaller than the sum of its proper divisors (293277664).

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

157138176 is a wasteful number, since it uses less digits than its factorization.

157138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15757 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 157138176 is about 12535.4766961612. The cubic root of 157138176 is about 539.6272873914.

The spelling of 157138176 in words is "one hundred fifty-seven million, one hundred thirty-eight thousand, one hundred seventy-six".