137625000125 has 16 divisors (see below), whose sum is σ = 171831262512. Its totient is φ = 110051755200.

The previous prime is 137625000103. The next prime is 137625000127. The reversal of 137625000125 is 521000526731.

It can be written as a sum of positive squares in 8 ways, for example, as 51464552164 + 86160447961 = 226858^2 + 293531^2 .

It is not a de Polignac number, because 137625000125 - 2²⁴ = 137608222909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137625000091 and 137625000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137625000127) 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 15 ways as a sum of consecutive naturals, for example, 46547 + ... + 526703.

It is an arithmetic number, because the mean of its divisors is an integer number (10739453907).

Almost surely, 2^137625000125 is an apocalyptic number.

It is an amenable number.

137625000125 is a deficient number, since it is larger than the sum of its proper divisors (34206262387).

137625000125 is an equidigital number, since it uses as much as digits as its factorization.

137625000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482465 (or 482455 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 137625000125 its reverse (521000526731), we get a palindrome (658625526856).

The spelling of 137625000125 in words is "one hundred thirty-seven billion, six hundred twenty-five million, one hundred twenty-five", and thus it is an aban number.