138049372916 has 288 divisors, whose sum is σ = 334526879232. Its totient is φ = 48342712320.

The previous prime is 138049372891. The next prime is 138049372963. The reversal of 138049372916 is 619273940831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213368105 + ... + 213368751.

It is an arithmetic number, because the mean of its divisors is an integer number (1161551664).

Almost surely, 2^138049372916 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 138049372916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167263439616).

138049372916 is an abundant number, since it is smaller than the sum of its proper divisors (196477506316).

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

138049372916 is a wasteful number, since it uses less digits than its factorization.

138049372916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 138049372916 in words is "one hundred thirty-eight billion, forty-nine million, three hundred seventy-two thousand, nine hundred sixteen".