157656800 has 144 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 52815360.

The previous prime is 157656787. The next prime is 157656823. The reversal of 157656800 is 8656751.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 262901 + ... + 263499.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^157656800 is an apocalyptic number.

157656800 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 157656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

157656800 is an abundant number, since it is smaller than the sum of its proper divisors (292314400).

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

157656800 is a wasteful number, since it uses less digits than its factorization.

157656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 157656800 is about 12556.1459054919. The cubic root of 157656800 is about 540.2203033435.

The spelling of 157656800 in words is "one hundred fifty-seven million, six hundred fifty-six thousand, eight hundred".