125753796 has 135 divisors (see below), whose sum is σ = 386763069. Its totient is φ = 35525952.

The previous prime is 125753791. The next prime is 125753809. The reversal of 125753796 is 697357521.

The square root of 125753796 is 11214.

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

125753796 is a `hidden beast` number, since 1 + 2 + 575 + 3 + 79 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24147396 + 101606400 = 4914^2 + 10080^2 .

It is not an unprimeable number, because it can be changed into a prime (125753791) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1412920 + ... + 1413008.

Almost surely, 2^125753796 is an apocalyptic number.

125753796 is the 11214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125753796

125753796 is an abundant number, since it is smaller than the sum of its proper divisors (261009273).

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

125753796 is an equidigital number, since it uses as much as digits as its factorization.

125753796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 101 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The cubic root of 125753796 is about 501.0030477781.

Multiplying 125753796 by its product of digits (396900), we get a square (49911681632400 = 7064820²).

The spelling of 125753796 in words is "one hundred twenty-five million, seven hundred fifty-three thousand, seven hundred ninety-six".