126323376400 has 135 divisors (see below), whose sum is σ = 328873834191. Its totient is φ = 46608357120.

The previous prime is 126323376397. The next prime is 126323376419. The reversal of 126323376400 is 4673323621.

The square root of 126323376400 is 355420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32560037136 + 93763339264 = 180444^2 + 306208^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126323376400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92408517 + ... + 92409883.

Almost surely, 2^126323376400 is an apocalyptic number.

126323376400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126323376400 is the 355420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126323376400

126323376400 is an abundant number, since it is smaller than the sum of its proper divisors (202550457791).

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

126323376400 is an equidigital number, since it uses as much as digits as its factorization.

126323376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The spelling of 126323376400 in words is "one hundred twenty-six billion, three hundred twenty-three million, three hundred seventy-six thousand, four hundred".