137512625137 has 2 divisors, whose sum is σ = 137512625138. Its totient is φ = 137512625136.

The previous prime is 137512625119. The next prime is 137512625171. The reversal of 137512625137 is 731526215731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128281450896 + 9231174241 = 358164^2 + 96079^2 .

It is a cyclic number.

It is not a de Polignac number, because 137512625137 - 2³⁵ = 103152886769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137512625093 and 137512625102.

It is not a weakly prime, because it can be changed into another prime (137512125137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68756312568 + 68756312569.

It is an arithmetic number, because the mean of its divisors is an integer number (68756312569).

Almost surely, 2^137512625137 is an apocalyptic number.

It is an amenable number.

137512625137 is a deficient number, since it is larger than the sum of its proper divisors (1).

137512625137 is an equidigital number, since it uses as much as digits as its factorization.

137512625137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 264600, while the sum is 43.

The spelling of 137512625137 in words is "one hundred thirty-seven billion, five hundred twelve million, six hundred twenty-five thousand, one hundred thirty-seven".