157286400 has 132 divisors (see below), whose sum is σ = 520093572. Its totient is φ = 41943040.

The previous prime is 157286383. The next prime is 157286419. The reversal of 157286400 is 4682751.

It is a super-3 number, since 3×157286400³ (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31457278 + ... + 31457282.

Almost surely, 2^157286400 is an apocalyptic number.

157286400 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 157286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260046786).

157286400 is an abundant number, since it is smaller than the sum of its proper divisors (362807172).

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

157286400 is an frugal number, since it uses more digits than its factorization.

157286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 157286400 is about 12541.3874830499. The cubic root of 157286400 is about 539.7969057931.

The spelling of 157286400 in words is "one hundred fifty-seven million, two hundred eighty-six thousand, four hundred".