137364247681 has 2 divisors, whose sum is σ = 137364247682. Its totient is φ = 137364247680.

The previous prime is 137364247673. The next prime is 137364247703. The reversal of 137364247681 is 186742463731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131029520400 + 6334727281 = 361980^2 + 79591^2 .

It is an emirp because it is prime and its reverse (186742463731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137364247681 - 2³ = 137364247673 is a prime.

It is a super-2 number, since 2×137364247681² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137364247381) 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, 68682123840 + 68682123841.

It is an arithmetic number, because the mean of its divisors is an integer number (68682123841).

Almost surely, 2^137364247681 is an apocalyptic number.

It is an amenable number.

137364247681 is a deficient number, since it is larger than the sum of its proper divisors (1).

137364247681 is an equidigital number, since it uses as much as digits as its factorization.

137364247681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4064256, while the sum is 52.

The spelling of 137364247681 in words is "one hundred thirty-seven billion, three hundred sixty-four million, two hundred forty-seven thousand, six hundred eighty-one".