126388400 has 60 divisors (see below), whose sum is σ = 306589752. Its totient is φ = 50065920.

The previous prime is 126388397. The next prime is 126388429. The reversal of 126388400 is 4883621.

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, 41324 + ... + 44276.

Almost surely, 2^126388400 is an apocalyptic number.

126388400 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 126388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153294876).

126388400 is an abundant number, since it is smaller than the sum of its proper divisors (180201352).

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

126388400 is a wasteful number, since it uses less digits than its factorization.

126388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 126388400 is about 11242.2595593591. The cubic root of 126388400 is about 501.8443880995.

The spelling of 126388400 in words is "one hundred twenty-six million, three hundred eighty-eight thousand, four hundred".