157516128 has 144 divisors (see below), whose sum is σ = 558544896. Its totient is φ = 40907520.

The previous prime is 157516123. The next prime is 157516147. The reversal of 157516128 is 821615751.

157516128 is a `hidden beast` number, since 1 + 575 + 1 + 61 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×157516128² = 49622661160224768, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 157516092 and 157516101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157516123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18625 + ... + 25727.

It is an arithmetic number, because the mean of its divisors is an integer number (3878784).

Almost surely, 2^157516128 is an apocalyptic number.

157516128 is a gapful number since it is divisible by the number (18) 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 157516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279272448).

157516128 is an abundant number, since it is smaller than the sum of its proper divisors (401028768).

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

157516128 is a wasteful number, since it uses less digits than its factorization.

157516128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7126 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 157516128 is about 12550.5429364629. The cubic root of 157516128 is about 540.0595819030.

It can be divided in two parts, 1575 and 16128, that multiplied together give a square (25401600 = 5040²).

The spelling of 157516128 in words is "one hundred fifty-seven million, five hundred sixteen thousand, one hundred twenty-eight".