157831398400 has 297 divisors, whose sum is σ = 425870016663. Its totient is φ = 57971097600.

The previous prime is 157831398383. The next prime is 157831398409. The reversal of 157831398400 is 4893138751.

It is a happy number.

The square root of 157831398400 is 397280.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40681276416 + 117150121984 = 201696^2 + 342272^2 .

It is not an unprimeable number, because it can be changed into a prime (157831398409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 826342305 + ... + 826342495.

Almost surely, 2^157831398400 is an apocalyptic number.

157831398400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157831398400 is the 397280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157831398400

157831398400 is an abundant number, since it is smaller than the sum of its proper divisors (268038618263).

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

157831398400 is an equidigital number, since it uses as much as digits as its factorization.

157831398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 157831398400 by its sum of digits (49), we get a square (7733738521600 = 2780960²).

The spelling of 157831398400 in words is "one hundred fifty-seven billion, eight hundred thirty-one million, three hundred ninety-eight thousand, four hundred".