125792227584 has 189 divisors, whose sum is σ = 376926507349. Its totient is φ = 41879669760.

The previous prime is 125792227573. The next prime is 125792227597. The reversal of 125792227584 is 485722297521.

It is a happy number.

The square root of 125792227584 is 354672.

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

125792227584 is a `hidden beast` number, since 1 + 2 + 57 + 9 + 2 + 2 + 2 + 7 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34346467584 + 91445760000 = 185328^2 + 302400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 125792227584.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 153217894 + ... + 153218714.

Almost surely, 2^125792227584 is an apocalyptic number.

125792227584 is the 354672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125792227584

125792227584 is an abundant number, since it is smaller than the sum of its proper divisors (251134279765).

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

125792227584 is an frugal number, since it uses more digits than its factorization.

125792227584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 826 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 125792227584 in words is "one hundred twenty-five billion, seven hundred ninety-two million, two hundred twenty-seven thousand, five hundred eighty-four".