138782813814720 has 336 divisors, whose sum is σ = 490966438761120. Its totient is φ = 36905365794816.

The previous prime is 138782813814683. The next prime is 138782813814797. The reversal of 138782813814720 is 27418318287831.

138782813814720 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 8 + 2 + 81 + 3 + 81 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113469524 + ... + 1113594156.

It is an arithmetic number, because the mean of its divisors is an integer number (1461209639170).

Almost surely, 2^{138782813814720} is an apocalyptic number.

138782813814720 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 138782813814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245483219380560).

138782813814720 is an abundant number, since it is smaller than the sum of its proper divisors (352183624946400).

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

138782813814720 is an equidigital number, since it uses as much as digits as its factorization.

138782813814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125377 (or 125002 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 138782813814720 in words is "one hundred thirty-eight trillion, seven hundred eighty-two billion, eight hundred thirteen million, eight hundred fourteen thousand, seven hundred twenty".