138672326364 has 288 divisors, whose sum is σ = 394542308160. Its totient is φ = 37638881280.

The previous prime is 138672326279. The next prime is 138672326371. The reversal of 138672326364 is 463623276831.

138672326364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97040802 + ... + 97042230.

It is an arithmetic number, because the mean of its divisors is an integer number (1369938570).

Almost surely, 2^138672326364 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 138672326364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197271154080).

138672326364 is an abundant number, since it is smaller than the sum of its proper divisors (255869981796).

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

138672326364 is a wasteful number, since it uses less digits than its factorization.

138672326364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1608 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 138672326364 in words is "one hundred thirty-eight billion, six hundred seventy-two million, three hundred twenty-six thousand, three hundred sixty-four".