138965304480 has 192 divisors, whose sum is σ = 469119506688. Its totient is φ = 34488115200.

The previous prime is 138965304451. The next prime is 138965304493. The reversal of 138965304480 is 84403569831.

It is a super-2 number, since 2×138965304480² (a number of 23 digits) contains 22 as substring.

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, 238380 + ... + 578580.

It is an arithmetic number, because the mean of its divisors is an integer number (2443330764).

Almost surely, 2^138965304480 is an apocalyptic number.

138965304480 is a gapful number since it is divisible by the number (10) 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 138965304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234559753344).

138965304480 is an abundant number, since it is smaller than the sum of its proper divisors (330154202208).

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

138965304480 is a wasteful number, since it uses less digits than its factorization.

138965304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340279 (or 340271 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 138965304480 in words is "one hundred thirty-eight billion, nine hundred sixty-five million, three hundred four thousand, four hundred eighty".