138118810752 has 192 divisors, whose sum is σ = 428316033600. Its totient is φ = 42469152768.

The previous prime is 138118810733. The next prime is 138118810813. The reversal of 138118810752 is 257018811831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138118810698 and 138118810707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35026893 + ... + 35030835.

It is an arithmetic number, because the mean of its divisors is an integer number (2230812675).

Almost surely, 2^138118810752 is an apocalyptic number.

138118810752 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 138118810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214158016800).

138118810752 is an abundant number, since it is smaller than the sum of its proper divisors (290197222848).

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

138118810752 is a wasteful number, since it uses less digits than its factorization.

138118810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 138118810752 in words is "one hundred thirty-eight billion, one hundred eighteen million, eight hundred ten thousand, seven hundred fifty-two".