157138117560 has 384 divisors, whose sum is σ = 590293267200. Its totient is φ = 37362124800.

The previous prime is 157138117531. The next prime is 157138117601. The reversal of 157138117560 is 65711831751.

157138117560 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 3 + 81 + 1 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3114535 + ... + 3164585.

It is an arithmetic number, because the mean of its divisors is an integer number (1537222050).

Almost surely, 2^157138117560 is an apocalyptic number.

157138117560 is a gapful number since it is divisible by the number (10) 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 157138117560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295146633600).

157138117560 is an abundant number, since it is smaller than the sum of its proper divisors (433155149640).

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

157138117560 is a wasteful number, since it uses less digits than its factorization.

157138117560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50113 (or 50097 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 157138117560 in words is "one hundred fifty-seven billion, one hundred thirty-eight million, one hundred seventeen thousand, five hundred sixty".