125153920441 has 27 divisors (see below), whose sum is σ = 142601690413. Its totient is φ = 109753915040.

The previous prime is 125153920429. The next prime is 125153920477. The reversal of 125153920441 is 144029351521.

The square root of 125153920441 is 353771.

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 43860506041 + 81293414400 = 209429^2 + 285120^2 .

It is not a de Polignac number, because 125153920441 - 2²⁷ = 125019702713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125153920441.

It is not an unprimeable number, because it can be changed into a prime (125153920841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112852395 + ... + 112853503.

Almost surely, 2^125153920441 is an apocalyptic number.

125153920441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125153920441 is the 353771-st square number.

125153920441 is the 176886-th centered octagonal number.

It is an amenable number.

125153920441 is a deficient number, since it is larger than the sum of its proper divisors (17447769972).

125153920441 is an frugal number, since it uses more digits than its factorization.

125153920441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 125153920441 in words is "one hundred twenty-five billion, one hundred fifty-three million, nine hundred twenty thousand, four hundred forty-one".