137625125125 has 8 divisors (see below), whose sum is σ = 171756156312. Its totient is φ = 110100100000.

The previous prime is 137625125119. The next prime is 137625125167. The reversal of 137625125125 is 521521526731.

It can be written as a sum of positive squares in 4 ways, for example, as 3576877249 + 134048247876 = 59807^2 + 366126^2 .

It is not a de Polignac number, because 137625125125 - 2¹⁵ = 137625092357 is a prime.

It is a super-3 number, since 3×137625125125³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550500376 + ... + 550500625.

It is an arithmetic number, because the mean of its divisors is an integer number (21469519539).

Almost surely, 2^137625125125 is an apocalyptic number.

It is an amenable number.

137625125125 is a deficient number, since it is larger than the sum of its proper divisors (34131031187).

137625125125 is an equidigital number, since it uses as much as digits as its factorization.

137625125125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101001016 (or 1101001006 counting only the distinct ones).

The product of its digits is 126000, while the sum is 40.

The spelling of 137625125125 in words is "one hundred thirty-seven billion, six hundred twenty-five million, one hundred twenty-five thousand, one hundred twenty-five".