137321649217 has 2 divisors, whose sum is σ = 137321649218. Its totient is φ = 137321649216.

The previous prime is 137321649191. The next prime is 137321649239. The reversal of 137321649217 is 712946123731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101908431361 + 35413217856 = 319231^2 + 188184^2 .

It is an emirp because it is prime and its reverse (712946123731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137321649217 is a prime.

It is not a weakly prime, because it can be changed into another prime (137321649277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68660824608 + 68660824609.

It is an arithmetic number, because the mean of its divisors is an integer number (68660824609).

Almost surely, 2^137321649217 is an apocalyptic number.

It is an amenable number.

137321649217 is a deficient number, since it is larger than the sum of its proper divisors (1).

137321649217 is an equidigital number, since it uses as much as digits as its factorization.

137321649217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024, while the sum is 46.

The spelling of 137321649217 in words is "one hundred thirty-seven billion, three hundred twenty-one million, six hundred forty-nine thousand, two hundred seventeen".