137912327137 has 16 divisors (see below), whose sum is σ = 149981726160. Its totient is φ = 126807822336.

The previous prime is 137912327131. The next prime is 137912327143. The reversal of 137912327137 is 731723219731.

It is an interprime number because it is at equal distance from previous prime (137912327131) and next prime (137912327143).

It can be written as a sum of positive squares in 8 ways, for example, as 83307854161 + 54604472976 = 288631^2 + 233676^2 .

It is not a de Polignac number, because 137912327137 - 2³ = 137912327129 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137912327131) 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, 442503 + ... + 686755.

It is an arithmetic number, because the mean of its divisors is an integer number (9373857885).

Almost surely, 2^137912327137 is an apocalyptic number.

It is an amenable number.

137912327137 is a deficient number, since it is larger than the sum of its proper divisors (12069399023).

137912327137 is an equidigital number, since it uses as much as digits as its factorization.

137912327137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244549 (or 244523 counting only the distinct ones).

The product of its digits is 333396, while the sum is 46.

The spelling of 137912327137 in words is "one hundred thirty-seven billion, nine hundred twelve million, three hundred twenty-seven thousand, one hundred thirty-seven".