137690331393664 has 384 divisors, whose sum is σ = 333153072645120. Its totient is φ = 56454234439680.

The previous prime is 137690331393653. The next prime is 137690331393733. The reversal of 137690331393664 is 466393133096731.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 137690331393596 and 137690331393605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19105079149 + ... + 19105086355.

It is an arithmetic number, because the mean of its divisors is an integer number (867586126680).

Almost surely, 2^{137690331393664} is an apocalyptic number.

137690331393664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137690331393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166576536322560).

137690331393664 is an abundant number, since it is smaller than the sum of its proper divisors (195462741251456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137690331393664 is a wasteful number, since it uses less digits than its factorization.

137690331393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 64.

The spelling of 137690331393664 in words is "one hundred thirty-seven trillion, six hundred ninety billion, three hundred thirty-one million, three hundred ninety-three thousand, six hundred sixty-four".