125831953984 has 189 divisors, whose sum is σ = 286311419121. Its totient is φ = 54826759680.

The previous prime is 125831953969. The next prime is 125831953991. The reversal of 125831953984 is 489359138521.

The square root of 125831953984 is 354728.

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

It can be written as a sum of positive squares in only one way, i.e., 65983224384 + 59848729600 = 256872^2 + 244640^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

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, 905265787 + ... + 905265925.

Almost surely, 2^125831953984 is an apocalyptic number.

125831953984 is the 354728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125831953984

125831953984 is an abundant number, since it is smaller than the sum of its proper divisors (160479465137).

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

125831953984 is an equidigital number, since it uses as much as digits as its factorization.

125831953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 181 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 58.

The spelling of 125831953984 in words is "one hundred twenty-five billion, eight hundred thirty-one million, nine hundred fifty-three thousand, nine hundred eighty-four".