138079989264 has 320 divisors, whose sum is σ = 439971840000. Its totient is φ = 36436345344.

The previous prime is 138079989233. The next prime is 138079989269. The reversal of 138079989264 is 462989970831.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138079989195 and 138079989204.

It is not an unprimeable number, because it can be changed into a prime (138079989269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92113987 + ... + 92115485.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912000).

Almost surely, 2^138079989264 is an apocalyptic number.

138079989264 is a gapful number since it is divisible by the number (14) 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 138079989264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920000).

138079989264 is an abundant number, since it is smaller than the sum of its proper divisors (301891850736).

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

138079989264 is a wasteful number, since it uses less digits than its factorization.

138079989264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 138079989264 in words is "one hundred thirty-eight billion, seventy-nine million, nine hundred eighty-nine thousand, two hundred sixty-four".