125807299272 has 36 divisors (see below), whose sum is σ = 340736253585. Its totient is φ = 41934763200.

The previous prime is 125807299237. The next prime is 125807299279. The reversal of 125807299272 is 272992708521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

125807299272 is a `hidden beast` number, since 1 + 2 + 5 + 80 + 7 + 299 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70716637476 + 55090661796 = 265926^2 + 234714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250806.

It is a super-2 number, since 2×125807299272² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125807299279) 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 8 ways as a sum of consecutive naturals, for example, 2988772 + ... + 3030572.

Almost surely, 2^125807299272 is an apocalyptic number.

125807299272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125807299272 is an abundant number, since it is smaller than the sum of its proper divisors (214928954313).

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

125807299272 is an frugal number, since it uses more digits than its factorization.

125807299272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83614 (or 41806 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 125807299272 in words is "one hundred twenty-five billion, eight hundred seven million, two hundred ninety-nine thousand, two hundred seventy-two".