137704133467104 has 48 divisors (see below), whose sum is σ = 361474322791680. Its totient is φ = 45901254337920.

The previous prime is 137704133467099. The next prime is 137704133467139. The reversal of 137704133467104 is 401764331407731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38283939 + ... + 41726109.

It is an arithmetic number, because the mean of its divisors is an integer number (7530715058160).

Almost surely, 2^{137704133467104} is an apocalyptic number.

It is an amenable number.

137704133467104 is an abundant number, since it is smaller than the sum of its proper divisors (223770189324576).

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

137704133467104 is a wasteful number, since it uses less digits than its factorization.

137704133467104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858903 (or 3858895 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 137704133467104 in words is "one hundred thirty-seven trillion, seven hundred four billion, one hundred thirty-three million, four hundred sixty-seven thousand, one hundred four".