137625731681 has 2 divisors, whose sum is σ = 137625731682. Its totient is φ = 137625731680.

The previous prime is 137625731629. The next prime is 137625731693. The reversal of 137625731681 is 186137526731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80817392656 + 56808339025 = 284284^2 + 238345^2 .

It is a cyclic number.

It is not a de Polignac number, because 137625731681 - 2¹⁰ = 137625730657 is a prime.

It is a super-2 number, since 2×137625731681² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137625731611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68812865840 + 68812865841.

It is an arithmetic number, because the mean of its divisors is an integer number (68812865841).

Almost surely, 2^137625731681 is an apocalyptic number.

It is an amenable number.

137625731681 is a deficient number, since it is larger than the sum of its proper divisors (1).

137625731681 is an equidigital number, since it uses as much as digits as its factorization.

137625731681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1270080, while the sum is 50.

The spelling of 137625731681 in words is "one hundred thirty-seven billion, six hundred twenty-five million, seven hundred thirty-one thousand, six hundred eighty-one".