126032400 has 180 divisors, whose sum is σ = 471185988. Its totient is φ = 31011840.

The previous prime is 126032393. The next prime is 126032419. The reversal of 126032400 is 4230621.

It is a happy number.

126032400 is a `hidden beast` number, since 1 + 260 + 3 + 2 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17539344 + 108493056 = 4188^2 + 10416^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45454 + ... + 48146.

Almost surely, 2^126032400 is an apocalyptic number.

126032400 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 126032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235592994).

126032400 is an abundant number, since it is smaller than the sum of its proper divisors (345153588).

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

126032400 is a wasteful number, since it uses less digits than its factorization.

126032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126032400 is about 11226.4152782622. The cubic root of 126032400 is about 501.3727609389.

The spelling of 126032400 in words is "one hundred twenty-six million, thirty-two thousand, four hundred".