126372654720 has 192 divisors, whose sum is σ = 469948588200. Its totient is φ = 31107096576.

The previous prime is 126372654713. The next prime is 126372654739. The reversal of 126372654720 is 27456273621.

126372654720 is a `hidden beast` number, since 1 + 2 + 63 + 7 + 26 + 547 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60315430464 + 66057224256 = 245592^2 + 257016^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 768955 + ... + 918714.

Almost surely, 2^126372654720 is an apocalyptic number.

126372654720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126372654720 is an abundant number, since it is smaller than the sum of its proper divisors (343575933480).

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

126372654720 is a wasteful number, since it uses less digits than its factorization.

126372654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687707 (or 1687692 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 126372654720 in words is "one hundred twenty-six billion, three hundred seventy-two million, six hundred fifty-four thousand, seven hundred twenty".