137667038384 has 80 divisors (see below), whose sum is σ = 284247610560. Its totient is φ = 64454860800.

The previous prime is 137667038371. The next prime is 137667038401. The reversal of 137667038384 is 483830766731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3287144 + ... + 3328760.

It is an arithmetic number, because the mean of its divisors is an integer number (3553095132).

Almost surely, 2^137667038384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137667038384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142123805280).

137667038384 is an abundant number, since it is smaller than the sum of its proper divisors (146580572176).

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

137667038384 is a wasteful number, since it uses less digits than its factorization.

137667038384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41838 (or 41832 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 137667038384 in words is "one hundred thirty-seven billion, six hundred sixty-seven million, thirty-eight thousand, three hundred eighty-four".