138328744673280 has 480 divisors, whose sum is σ = 507231121630464. Its totient is φ = 31533085753344.

The previous prime is 138328744673279. The next prime is 138328744673299. The reversal of 138328744673280 is 82376447823831.

It is a tau number, because it is divible by the number of its divisors (480).

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, 641571574 + ... + 641787146.

Almost surely, 2^{138328744673280} is an apocalyptic number.

138328744673280 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 138328744673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253615560815232).

138328744673280 is an abundant number, since it is smaller than the sum of its proper divisors (368902376957184).

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

138328744673280 is an equidigital number, since it uses as much as digits as its factorization.

138328744673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215989 (or 215963 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 66.

The spelling of 138328744673280 in words is "one hundred thirty-eight trillion, three hundred twenty-eight billion, seven hundred forty-four million, six hundred seventy-three thousand, two hundred eighty".