157882400 has 288 divisors, whose sum is σ = 472469760. Its totient is φ = 50872320.

The previous prime is 157882363. The next prime is 157882423. The reversal of 157882400 is 4288751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3359177 + ... + 3359223.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^157882400 is an apocalyptic number.

157882400 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 157882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

157882400 is an abundant number, since it is smaller than the sum of its proper divisors (314587360).

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

157882400 is a wasteful number, since it uses less digits than its factorization.

157882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 157882400 is about 12565.1263423811. The cubic root of 157882400 is about 540.4778577584.

The spelling of 157882400 in words is "one hundred fifty-seven million, eight hundred eighty-two thousand, four hundred".