125147628081 has 24 divisors (see below), whose sum is σ = 206618632064. Its totient is φ = 71504026560.

The previous prime is 125147628041. The next prime is 125147628097. The reversal of 125147628081 is 180826741521.

125147628081 is a `hidden beast` number, since 1 + 2 + 5 + 14 + 7 + 628 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 125147628081 - 2⁹ = 125147627569 is a prime.

It is a super-2 number, since 2×125147628081² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125147628031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404085 + ... + 643101.

Almost surely, 2^125147628081 is an apocalyptic number.

It is an amenable number.

125147628081 is a deficient number, since it is larger than the sum of its proper divisors (81471003983).

125147628081 is a wasteful number, since it uses less digits than its factorization.

125147628081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247341 (or 247338 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 125147628081 in words is "one hundred twenty-five billion, one hundred forty-seven million, six hundred twenty-eight thousand, eighty-one".