138093838313172 has 384 divisors, whose sum is σ = 388620739584000. Its totient is φ = 38120920814592.

The previous prime is 138093838313161. The next prime is 138093838313267. The reversal of 138093838313172 is 271313838390831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51856490713 + ... + 51856493375.

It is an arithmetic number, because the mean of its divisors is an integer number (1012033176000).

Almost surely, 2^{138093838313172} is an apocalyptic number.

138093838313172 is a gapful number since it is divisible by the number (12) 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 138093838313172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194310369792000).

138093838313172 is an abundant number, since it is smaller than the sum of its proper divisors (250526901270828).

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

138093838313172 is a wasteful number, since it uses less digits than its factorization.

138093838313172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 138093838313172 in words is "one hundred thirty-eight trillion, ninety-three billion, eight hundred thirty-eight million, three hundred thirteen thousand, one hundred seventy-two".