137265662131731 has 48 divisors (see below), whose sum is σ = 248894041443840. Its totient is φ = 71078394499200.

The previous prime is 137265662131709. The next prime is 137265662131739. The reversal of 137265662131731 is 137131266562731.

137265662131731 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 6 + 5 + 6 + 621 + 3 + 1 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 137265662131731 - 2⁵ = 137265662131699 is a prime.

It is a super-2 number, since 2×137265662131731² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137265662131739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492901570 + ... + 2492956631.

It is an arithmetic number, because the mean of its divisors is an integer number (5185292530080).

Almost surely, 2^{137265662131731} is an apocalyptic number.

137265662131731 is a deficient number, since it is larger than the sum of its proper divisors (111628379312109).

137265662131731 is a wasteful number, since it uses less digits than its factorization.

137265662131731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985858256 (or 4985858253 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 137265662131731 in words is "one hundred thirty-seven trillion, two hundred sixty-five billion, six hundred sixty-two million, one hundred thirty-one thousand, seven hundred thirty-one".