137714404417673 has 2 divisors, whose sum is σ = 137714404417674. Its totient is φ = 137714404417672.

The previous prime is 137714404417631. The next prime is 137714404417753. The reversal of 137714404417673 is 376714404417731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90791397516304 + 46923006901369 = 9528452^2 + 6850037^2 .

It is a cyclic number.

It is not a de Polignac number, because 137714404417673 - 2⁶ = 137714404417609 is a prime.

It is a super-2 number, since 2×137714404417673² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137714404410673) 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, 68857202208836 + 68857202208837.

It is an arithmetic number, because the mean of its divisors is an integer number (68857202208837).

Almost surely, 2^{137714404417673} is an apocalyptic number.

It is an amenable number.

137714404417673 is a deficient number, since it is larger than the sum of its proper divisors (1).

137714404417673 is an equidigital number, since it uses as much as digits as its factorization.

137714404417673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33191424, while the sum is 59.

The spelling of 137714404417673 in words is "one hundred thirty-seven trillion, seven hundred fourteen billion, four hundred four million, four hundred seventeen thousand, six hundred seventy-three".