157863182400 has 1701 divisors, whose sum is σ = 734489983773. Its totient is φ = 32039884800.

The previous prime is 157863182387. The next prime is 157863182423. The reversal of 157863182400 is 4281368751.

The square root of 157863182400 is 397320.

It is a perfect power (a square), and thus also a powerful number.

157863182400 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 63 + 182 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56830745664 + 101032436736 = 238392^2 + 317856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3671236779 + ... + 3671236821.

Almost surely, 2^157863182400 is an apocalyptic number.

157863182400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157863182400 is the 397320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157863182400

157863182400 is an abundant number, since it is smaller than the sum of its proper divisors (576626801373).

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

157863182400 is a wasteful number, since it uses less digits than its factorization.

157863182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 157863182400 in words is "one hundred fifty-seven billion, eight hundred sixty-three million, one hundred eighty-two thousand, four hundred".