138966795264 has 352 divisors, whose sum is σ = 429748162560. Its totient is φ = 39481344000.

The previous prime is 138966795259. The next prime is 138966795299. The reversal of 138966795264 is 462597669831.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 138966795195 and 138966795204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64845777 + ... + 64847919.

Almost surely, 2^138966795264 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 138966795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214874081280).

138966795264 is an abundant number, since it is smaller than the sum of its proper divisors (290781367296).

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

138966795264 is a wasteful number, since it uses less digits than its factorization.

138966795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2279 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 66.

The spelling of 138966795264 in words is "one hundred thirty-eight billion, nine hundred sixty-six million, seven hundred ninety-five thousand, two hundred sixty-four".