157260960 has 192 divisors, whose sum is σ = 560649600. Its totient is φ = 41158656.

The previous prime is 157260893. The next prime is 157260973. The reversal of 157260960 is 69062751.

157260960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 254572 + ... + 255188.

It is an arithmetic number, because the mean of its divisors is an integer number (2920050).

Almost surely, 2^157260960 is an apocalyptic number.

157260960 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 157260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280324800).

157260960 is an abundant number, since it is smaller than the sum of its proper divisors (403388640).

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

157260960 is a wasteful number, since it uses less digits than its factorization.

157260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 157260960 is about 12540.3732001883. The cubic root of 157260960 is about 539.7678014041.

The spelling of 157260960 in words is "one hundred fifty-seven million, two hundred sixty thousand, nine hundred sixty".