137658940989673 has 2 divisors, whose sum is σ = 137658940989674. Its totient is φ = 137658940989672.

The previous prime is 137658940989641. The next prime is 137658940989707. The reversal of 137658940989673 is 376989049856731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117233630192704 + 20425310796969 = 10827448^2 + 4519437^2 .

It is a cyclic number.

It is not a de Polignac number, because 137658940989673 - 2⁵ = 137658940989641 is a prime.

It is not a weakly prime, because it can be changed into another prime (137658940989613) 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, 68829470494836 + 68829470494837.

It is an arithmetic number, because the mean of its divisors is an integer number (68829470494837).

Almost surely, 2^{137658940989673} is an apocalyptic number.

It is an amenable number.

137658940989673 is a deficient number, since it is larger than the sum of its proper divisors (1).

137658940989673 is an equidigital number, since it uses as much as digits as its factorization.

137658940989673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14814213120, while the sum is 85.

The spelling of 137658940989673 in words is "one hundred thirty-seven trillion, six hundred fifty-eight billion, nine hundred forty million, nine hundred eighty-nine thousand, six hundred seventy-three".