126014400 has 168 divisors, whose sum is σ = 459526640. Its totient is φ = 33592320.

The previous prime is 126014377. The next prime is 126014419. The reversal of 126014400 is 4410621.

126014400 is a `hidden beast` number, since 1 + 260 + 1 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41742 + ... + 44658.

Almost surely, 2^126014400 is an apocalyptic number.

126014400 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 126014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229763320).

126014400 is an abundant number, since it is smaller than the sum of its proper divisors (333512240).

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

126014400 is a wasteful number, since it uses less digits than its factorization.

126014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126014400 is about 11225.6135689770. The cubic root of 126014400 is about 501.3488910468.

The spelling of 126014400 in words is "one hundred twenty-six million, fourteen thousand, four hundred".