157368960 has 256 divisors, whose sum is σ = 637459200. Its totient is φ = 35942400.

The previous prime is 157368941. The next prime is 157368961. The reversal of 157368960 is 69863751.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (157368961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120310 + ... + 121610.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2^157368960 is an apocalyptic number.

157368960 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 157368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

157368960 is an abundant number, since it is smaller than the sum of its proper divisors (480090240).

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

157368960 is a wasteful number, since it uses less digits than its factorization.

157368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 157368960 is about 12544.6785530758. The cubic root of 157368960 is about 539.8913361598.

The spelling of 157368960 in words is "one hundred fifty-seven million, three hundred sixty-eight thousand, nine hundred sixty".