125955729 has 45 divisors (see below), whose sum is σ = 199505163. Its totient is φ = 79189488.

The previous prime is 125955707. The next prime is 125955743. The reversal of 125955729 is 927559521.

The square root of 125955729 is 11223.

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

125955729 is a `hidden beast` number, since 1 + 2 + 595 + 57 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66048129 + 59907600 = 8127^2 + 7740^2 .

It is not a de Polignac number, because 125955729 - 2⁹ = 125955217 is a prime.

Its product of digits (283500) is a multiple of the sum of its prime divisors (75).

It is not an unprimeable number, because it can be changed into a prime (125955749) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2929182 + ... + 2929224.

Almost surely, 2^125955729 is an apocalyptic number.

125955729 is the 11223-rd square number.

125955729 is the 5612-nd centered octagonal number.

It is an amenable number.

125955729 is a deficient number, since it is larger than the sum of its proper divisors (73549434).

125955729 is an frugal number, since it uses more digits than its factorization.

125955729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 75 counting only the distinct ones).

The product of its digits is 283500, while the sum is 45.

The cubic root of 125955729 is about 501.2710713505.

The spelling of 125955729 in words is "one hundred twenty-five million, nine hundred fifty-five thousand, seven hundred twenty-nine".