137688378186017 has 8 divisors (see below), whose sum is σ = 147557932910016. Its totient is φ = 128142415420272.

The previous prime is 137688378185947. The next prime is 137688378186031. The reversal of 137688378186017 is 710681873886731.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137688378186017 - 2¹⁴ = 137688378169633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137688378186517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80897988683 + ... + 80897990384.

It is an arithmetic number, because the mean of its divisors is an integer number (18444741613752).

Almost surely, 2^{137688378186017} is an apocalyptic number.

It is an amenable number.

137688378186017 is a deficient number, since it is larger than the sum of its proper divisors (9869554723999).

137688378186017 is a wasteful number, since it uses less digits than its factorization.

137688378186017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161795979127.

The product of its (nonzero) digits is 455196672, while the sum is 74.

The spelling of 137688378186017 in words is "one hundred thirty-seven trillion, six hundred eighty-eight billion, three hundred seventy-eight million, one hundred eighty-six thousand, seventeen".