137680517667 has 48 divisors (see below), whose sum is σ = 233029585152. Its totient is φ = 71500524480.

The previous prime is 137680517617. The next prime is 137680517683. The reversal of 137680517667 is 766715086731.

It is not a de Polignac number, because 137680517667 - 2⁷ = 137680517539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137680517617) 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 in 47 ways as a sum of consecutive naturals, for example, 6209533 + ... + 6231665.

It is an arithmetic number, because the mean of its divisors is an integer number (4854783024).

Almost surely, 2^137680517667 is an apocalyptic number.

137680517667 is a deficient number, since it is larger than the sum of its proper divisors (95349067485).

137680517667 is a wasteful number, since it uses less digits than its factorization.

137680517667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26008 (or 26001 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 137680517667 in words is "one hundred thirty-seven billion, six hundred eighty million, five hundred seventeen thousand, six hundred sixty-seven".