138908064780 has 240 divisors, whose sum is σ = 455895893376. Its totient is φ = 35368980480.

The previous prime is 138908064769. The next prime is 138908064781. The reversal of 138908064780 is 87460809831.

138908064780 is a `hidden beast` number, since 1 + 3 + 8 + 90 + 80 + 6 + 478 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138908064781) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3099492 + ... + 3143988.

Almost surely, 2^138908064780 is an apocalyptic number.

138908064780 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 138908064780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227947946688).

138908064780 is an abundant number, since it is smaller than the sum of its proper divisors (316987828596).

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

138908064780 is a wasteful number, since it uses less digits than its factorization.

138908064780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44606 (or 44595 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 138908064780 in words is "one hundred thirty-eight billion, nine hundred eight million, sixty-four thousand, seven hundred eighty".