125972465476 has 243 divisors, whose sum is σ = 282601272933. Its totient is φ = 49064970240.

The previous prime is 125972465453. The next prime is 125972465483. The reversal of 125972465476 is 674564279521.

The square root of 125972465476 is 354926.

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

It can be written as a sum of positive squares in 13 ways, for example, as 66424752900 + 59547712576 = 257730^2 + 244024^2 .

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 125972465476.

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 80 ways as a sum of consecutive naturals, for example, 1725650176 + ... + 1725650248.

Almost surely, 2^125972465476 is an apocalyptic number.

125972465476 is the 354926-th square number.

It is an amenable number.

125972465476 is an abundant number, since it is smaller than the sum of its proper divisors (156628807457).

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

125972465476 is a wasteful number, since it uses less digits than its factorization.

125972465476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 125972465476 in words is "one hundred twenty-five billion, nine hundred seventy-two million, four hundred sixty-five thousand, four hundred seventy-six".