126832375800 has 960 divisors, whose sum is σ = 517052844000. Its totient is φ = 28531077120.

The previous prime is 126832375793. The next prime is 126832375811. The reversal of 126832375800 is 8573238621.

126832375800 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 32 + 37 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 116040054 + ... + 116041146.

Almost surely, 2^126832375800 is an apocalyptic number.

126832375800 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 126832375800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258526422000).

126832375800 is an abundant number, since it is smaller than the sum of its proper divisors (390220468200).

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

126832375800 is a wasteful number, since it uses less digits than its factorization.

126832375800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 126832375800 in words is "one hundred twenty-six billion, eight hundred thirty-two million, three hundred seventy-five thousand, eight hundred".