126314400 has 72 divisors (see below), whose sum is σ = 411161184. Its totient is φ = 33683200.

The previous prime is 126314389. The next prime is 126314417. The reversal of 126314400 is 4413621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23916 + ... + 28715.

It is an arithmetic number, because the mean of its divisors is an integer number (5710572).

Almost surely, 2^126314400 is an apocalyptic number.

126314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126314400 is an abundant number, since it is smaller than the sum of its proper divisors (284846784).

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

126314400 is a wasteful number, since it uses less digits than its factorization.

126314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52654 (or 52641 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 126314400 is about 11238.9679241468. The cubic root of 126314400 is about 501.7464262221.

The spelling of 126314400 in words is "one hundred twenty-six million, three hundred fourteen thousand, four hundred".