137131444757 has 2 divisors, whose sum is σ = 137131444758. Its totient is φ = 137131444756.

The previous prime is 137131444733. The next prime is 137131444811. The reversal of 137131444757 is 757444131731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136197164401 + 934280356 = 369049^2 + 30566^2 .

It is a cyclic number.

It is not a de Polignac number, because 137131444757 - 2³⁰ = 136057702933 is a prime.

It is a super-2 number, since 2×137131444757² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137131444717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68565722378 + 68565722379.

It is an arithmetic number, because the mean of its divisors is an integer number (68565722379).

Almost surely, 2^137131444757 is an apocalyptic number.

It is an amenable number.

137131444757 is a deficient number, since it is larger than the sum of its proper divisors (1).

137131444757 is an equidigital number, since it uses as much as digits as its factorization.

137131444757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 987840, while the sum is 47.

The spelling of 137131444757 in words is "one hundred thirty-seven billion, one hundred thirty-one million, four hundred forty-four thousand, seven hundred fifty-seven".