137808065332223 has 64 divisors (see below), whose sum is σ = 170824118599680. Its totient is φ = 109298013552000.

The previous prime is 137808065332213. The next prime is 137808065332229. The reversal of 137808065332223 is 322233560808731.

It is a Cunningham number, because it is equal to 11739168²-1.

It is not a de Polignac number, because 137808065332223 - 2⁶ = 137808065332159 is a prime.

It is a super-2 number, since 2×137808065332223² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137808065332229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2899550486 + ... + 2899598012.

It is an arithmetic number, because the mean of its divisors is an integer number (2669126853120).

Almost surely, 2^{137808065332223} is an apocalyptic number.

137808065332223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137808065332223 is a deficient number, since it is larger than the sum of its proper divisors (33016053267457).

137808065332223 is a wasteful number, since it uses less digits than its factorization.

137808065332223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50068.

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 137808065332223 in words is "one hundred thirty-seven trillion, eight hundred eight billion, sixty-five million, three hundred thirty-two thousand, two hundred twenty-three".