157646400 has 84 divisors (see below), whose sum is σ = 517227312. Its totient is φ = 42037760.

The previous prime is 157646399. The next prime is 157646429. The reversal of 157646400 is 4646751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11622 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (6157468).

Almost surely, 2^157646400 is an apocalyptic number.

157646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157646400 is an abundant number, since it is smaller than the sum of its proper divisors (359580912).

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

157646400 is a wasteful number, since it uses less digits than its factorization.

157646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32868 (or 32853 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 157646400 is about 12555.7317588423. The cubic root of 157646400 is about 540.2084243450.

The spelling of 157646400 in words is "one hundred fifty-seven million, six hundred forty-six thousand, four hundred".