157128640 has 112 divisors (see below), whose sum is σ = 401677632. Its totient is φ = 58392576.

The previous prime is 157128611. The next prime is 157128659. The reversal of 157128640 is 46821751.

157128640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157128596 and 157128605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272032 + ... + 272608.

Almost surely, 2^157128640 is an apocalyptic number.

157128640 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 157128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200838816).

157128640 is an abundant number, since it is smaller than the sum of its proper divisors (244548992).

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

157128640 is a wasteful number, since it uses less digits than its factorization.

157128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 157128640 is about 12535.0963299051. The cubic root of 157128640 is about 539.6163713300.

The spelling of 157128640 in words is "one hundred fifty-seven million, one hundred twenty-eight thousand, six hundred forty".