137517354493 has 2 divisors, whose sum is σ = 137517354494. Its totient is φ = 137517354492.

The previous prime is 137517354487. The next prime is 137517354511. The reversal of 137517354493 is 394453715731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105766747524 + 31750606969 = 325218^2 + 178187^2 .

It is an emirp because it is prime and its reverse (394453715731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137517354493 - 2²⁹ = 136980483581 is a prime.

It is a super-2 number, since 2×137517354493² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137517354493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137517354433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68758677246 + 68758677247.

It is an arithmetic number, because the mean of its divisors is an integer number (68758677247).

Almost surely, 2^137517354493 is an apocalyptic number.

It is an amenable number.

137517354493 is a deficient number, since it is larger than the sum of its proper divisors (1).

137517354493 is an equidigital number, since it uses as much as digits as its factorization.

137517354493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4762800, while the sum is 52.

The spelling of 137517354493 in words is "one hundred thirty-seven billion, five hundred seventeen million, three hundred fifty-four thousand, four hundred ninety-three".