138500206944 has 288 divisors, whose sum is σ = 436462992000. Its totient is φ = 38029178880.

The previous prime is 138500206939. The next prime is 138500206991. The reversal of 138500206944 is 449602005831.

It is a junction number, because it is equal to n+sod(n) for n = 138500206896 and 138500206905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10607332 + ... + 10620380.

It is an arithmetic number, because the mean of its divisors is an integer number (1515496500).

Almost surely, 2^138500206944 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 138500206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218231496000).

138500206944 is an abundant number, since it is smaller than the sum of its proper divisors (297962785056).

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

138500206944 is a wasteful number, since it uses less digits than its factorization.

138500206944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 138500206944 in words is "one hundred thirty-eight billion, five hundred million, two hundred six thousand, nine hundred forty-four".