157398400 has 96 divisors (see below), whose sum is σ = 393479280. Its totient is φ = 62208000.

The previous prime is 157398389. The next prime is 157398421. The reversal of 157398400 is 4893751.

It is a self number, because there is not a number n which added to its sum of digits gives 157398400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322957 + ... + 323443.

Almost surely, 2^157398400 is an apocalyptic number.

157398400 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 157398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196739640).

157398400 is an abundant number, since it is smaller than the sum of its proper divisors (236080880).

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

157398400 is a wasteful number, since it uses less digits than its factorization.

157398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 157398400 is about 12545.8519041156. The cubic root of 157398400 is about 539.9250010153.

The spelling of 157398400 in words is "one hundred fifty-seven million, three hundred ninety-eight thousand, four hundred".