137312313741 has 12 divisors (see below), whose sum is σ = 198965691132. Its totient is φ = 91252766016.

The previous prime is 137312313653. The next prime is 137312313763. The reversal of 137312313741 is 147313213731.

It can be written as a sum of positive squares in 2 ways, for example, as 11396630025 + 125915683716 = 106755^2 + 354846^2 .

It is not a de Polignac number, because 137312313741 - 2⁷ = 137312313613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137312313696 and 137312313705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137312313781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24061696 + ... + 24067401.

It is an arithmetic number, because the mean of its divisors is an integer number (16580474261).

Almost surely, 2^137312313741 is an apocalyptic number.

It is an amenable number.

137312313741 is a deficient number, since it is larger than the sum of its proper divisors (61653377391).

137312313741 is a wasteful number, since it uses less digits than its factorization.

137312313741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48129420 (or 48129417 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The spelling of 137312313741 in words is "one hundred thirty-seven billion, three hundred twelve million, three hundred thirteen thousand, seven hundred forty-one".