125125741 has 12 divisors (see below), whose sum is σ = 135955092. Its totient is φ = 115157952.

The previous prime is 125125733. The next prime is 125125751. The reversal of 125125741 is 147521521.

125125741 = 156³ + 157³ + ... + 181³.

It can be written as a sum of positive squares in 6 ways, for example, as 113422500 + 11703241 = 10650^2 + 3421^2 .

It is not a de Polignac number, because 125125741 - 2³ = 125125733 is a prime.

Its product of digits (2800) is a multiple of the sum of its prime divisors (350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125125751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371125 + ... + 371461.

It is an arithmetic number, because the mean of its divisors is an integer number (11329591).

Almost surely, 2^125125741 is an apocalyptic number.

It is an amenable number.

125125741 is a deficient number, since it is larger than the sum of its proper divisors (10829351).

125125741 is an frugal number, since it uses more digits than its factorization.

125125741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 350 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 125125741 is about 11185.9617825201. The cubic root of 125125741 is about 500.1675984819.

The spelling of 125125741 in words is "one hundred twenty-five million, one hundred twenty-five thousand, seven hundred forty-one".