138768745013280 has 240 divisors, whose sum is σ = 490217741083224. Its totient is φ = 36968751267840.

The previous prime is 138768745013233. The next prime is 138768745013299. The reversal of 138768745013280 is 82310547867831.

It is a happy number.

138768745013280 is a `hidden beast` number, since 1 + 3 + 8 + 76 + 8 + 7 + 450 + 1 + 32 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67839536898576 + 70929208114704 = 8236476^2 + 8421948^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7988544 + ... + 18475776.

Almost surely, 2^{138768745013280} is an apocalyptic number.

138768745013280 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 138768745013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245108870541612).

138768745013280 is an abundant number, since it is smaller than the sum of its proper divisors (351448996069944).

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

138768745013280 is a wasteful number, since it uses less digits than its factorization.

138768745013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488281 (or 10488264 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 138768745013280 in words is "one hundred thirty-eight trillion, seven hundred sixty-eight billion, seven hundred forty-five million, thirteen thousand, two hundred eighty".