137116116048417 has 32 divisors (see below), whose sum is σ = 211181947701120. Its totient is φ = 78209266437120.

The previous prime is 137116116048413. The next prime is 137116116048473. The reversal of 137116116048417 is 714840611611731.

It is not a de Polignac number, because 137116116048417 - 2² = 137116116048413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 137116116048417.

It is not an unprimeable number, because it can be changed into a prime (137116116048413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9146559 + ... + 18918027.

It is an arithmetic number, because the mean of its divisors is an integer number (6599435865660).

Almost surely, 2^{137116116048417} is an apocalyptic number.

137116116048417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137116116048417 is a deficient number, since it is larger than the sum of its proper divisors (74065831652703).

137116116048417 is a wasteful number, since it uses less digits than its factorization.

137116116048417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796513.

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 137116116048417 in words is "one hundred thirty-seven trillion, one hundred sixteen billion, one hundred sixteen million, forty-eight thousand, four hundred seventeen".