138844399104 has 240 divisors, whose sum is σ = 428972544000. Its totient is φ = 44787271680.

The previous prime is 138844399103. The next prime is 138844399117. The reversal of 138844399104 is 401993448831.

138844399104 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 443 + 99 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138844399103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3838897 + ... + 3874895.

It is an arithmetic number, because the mean of its divisors is an integer number (1787385600).

Almost surely, 2^138844399104 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 138844399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272000).

138844399104 is an abundant number, since it is smaller than the sum of its proper divisors (290128144896).

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

138844399104 is an frugal number, since it uses more digits than its factorization.

138844399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36063 (or 36035 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 138844399104 in words is "one hundred thirty-eight billion, eight hundred forty-four million, three hundred ninety-nine thousand, one hundred four".