138360300720768 has 768 divisors, whose sum is σ = 468947312870400. Its totient is φ = 38345285910528.

The previous prime is 138360300720749. The next prime is 138360300720769. The reversal of 138360300720768 is 867027003063831.

138360300720768 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 603 + 0 + 0 + 7 + 20 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (138360300720769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8755310755 + ... + 8755326557.

It is an arithmetic number, because the mean of its divisors is an integer number (610608480300).

Almost surely, 2^{138360300720768} is an apocalyptic number.

138360300720768 is a gapful number since it is divisible by the number (18) 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 138360300720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234473656435200).

138360300720768 is an abundant number, since it is smaller than the sum of its proper divisors (330587012149632).

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

138360300720768 is a wasteful number, since it uses less digits than its factorization.

138360300720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16149 (or 16134 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 138360300720768 in words is "one hundred thirty-eight trillion, three hundred sixty billion, three hundred million, seven hundred twenty thousand, seven hundred sixty-eight".