157012128 has 192 divisors, whose sum is σ = 563915520. Its totient is φ = 41389056.

The previous prime is 157012111. The next prime is 157012133. The reversal of 157012128 is 821210751.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 77626 + ... + 79622.

It is an arithmetic number, because the mean of its divisors is an integer number (2937060).

Almost surely, 2^157012128 is an apocalyptic number.

157012128 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 157012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

157012128 is an abundant number, since it is smaller than the sum of its proper divisors (406903392).

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

157012128 is a wasteful number, since it uses less digits than its factorization.

157012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 157012128 is about 12530.4480366825. The cubic root of 157012128 is about 539.4829618955.

Adding to 157012128 its reverse (821210751), we get a palindrome (978222879).

The spelling of 157012128 in words is "one hundred fifty-seven million, twelve thousand, one hundred twenty-eight".