137517773467681 has 2 divisors, whose sum is σ = 137517773467682. Its totient is φ = 137517773467680.

The previous prime is 137517773467673. The next prime is 137517773467693. The reversal of 137517773467681 is 186764377715731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77021967278656 + 60495806189025 = 8776216^2 + 7777905^2 .

It is a cyclic number.

It is not a de Polignac number, because 137517773467681 - 2³ = 137517773467673 is a prime.

It is a super-2 number, since 2×137517773467681² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137517773467601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68758886733840 + 68758886733841.

It is an arithmetic number, because the mean of its divisors is an integer number (68758886733841).

Almost surely, 2^{137517773467681} is an apocalyptic number.

It is an amenable number.

137517773467681 is a deficient number, since it is larger than the sum of its proper divisors (1).

137517773467681 is an equidigital number, since it uses as much as digits as its factorization.

137517773467681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 871274880, while the sum is 73.

The spelling of 137517773467681 in words is "one hundred thirty-seven trillion, five hundred seventeen billion, seven hundred seventy-three million, four hundred sixty-seven thousand, six hundred eighty-one".