138650671104 has 384 divisors, whose sum is σ = 423890288640. Its totient is φ = 39892582400.

The previous prime is 138650671097. The next prime is 138650671123. The reversal of 138650671104 is 401176056831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296896279 + ... + 296896745.

It is an arithmetic number, because the mean of its divisors is an integer number (1103880960).

Almost surely, 2^138650671104 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 138650671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211945144320).

138650671104 is an abundant number, since it is smaller than the sum of its proper divisors (285239617536).

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

138650671104 is a wasteful number, since it uses less digits than its factorization.

138650671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 138650671104 in words is "one hundred thirty-eight billion, six hundred fifty million, six hundred seventy-one thousand, one hundred four".