126372501792 has 144 divisors (see below), whose sum is σ = 380661142680. Its totient is φ = 39630667776.

The previous prime is 126372501769. The next prime is 126372501817. The reversal of 126372501792 is 297105273621.

It is a happy number.

126372501792 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 72 + 501 + 79 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121747957776 + 4624544016 = 348924^2 + 68004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126372501792² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 24521488 + ... + 24526640.

Almost surely, 2^126372501792 is an apocalyptic number.

126372501792 is a gapful number since it is divisible by the number (12) 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 126372501792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190330571340).

126372501792 is an abundant number, since it is smaller than the sum of its proper divisors (254288640888).

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

126372501792 is a wasteful number, since it uses less digits than its factorization.

126372501792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 126372501792 in words is "one hundred twenty-six billion, three hundred seventy-two million, five hundred one thousand, seven hundred ninety-two".