125726569881796 has 243 divisors, whose sum is σ = 248351834878119. Its totient is φ = 55666369459584.

The previous prime is 125726569881791. The next prime is 125726569881853. The reversal of 125726569881796 is 697188965627521.

It is a happy number.

The square root of 125726569881796 is 11212786.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3263131539396 + 122463438342400 = 1806414^2 + 11066320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125726569881791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1220646309481 + ... + 1220646309583.

Almost surely, 2^{125726569881796} is an apocalyptic number.

125726569881796 is the 11212786-th square number.

It is an amenable number.

125726569881796 is a deficient number, since it is larger than the sum of its proper divisors (122625264996323).

125726569881796 is an equidigital number, since it uses as much as digits as its factorization.

125726569881796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 82.

The spelling of 125726569881796 in words is "one hundred twenty-five trillion, seven hundred twenty-six billion, five hundred sixty-nine million, eight hundred eighty-one thousand, seven hundred ninety-six".