157468320 has 96 divisors (see below), whose sum is σ = 551154240. Its totient is φ = 41990400.

The previous prime is 157468309. The next prime is 157468321. The reversal of 157468320 is 23864751.

157468320 is a `hidden beast` number, since 1 + 574 + 6 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (157468321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13906 + ... + 22545.

It is an arithmetic number, because the mean of its divisors is an integer number (5741190).

Almost surely, 2^157468320 is an apocalyptic number.

157468320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157468320 is an abundant number, since it is smaller than the sum of its proper divisors (393685920).

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

157468320 is a wasteful number, since it uses less digits than its factorization.

157468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36475 (or 36461 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 157468320 is about 12548.6381731246. The cubic root of 157468320 is about 540.0049382264.

The spelling of 157468320 in words is "one hundred fifty-seven million, four hundred sixty-eight thousand, three hundred twenty".