138808494720 has 320 divisors, whose sum is σ = 566527420800. Its totient is φ = 31727572992.

The previous prime is 138808494701. The next prime is 138808494787. The reversal of 138808494720 is 27494808831.

It is a happy number.

138808494720 is a `hidden beast` number, since 1 + 3 + 8 + 80 + 8 + 494 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171621 + ... + 554139.

It is an arithmetic number, because the mean of its divisors is an integer number (1770398190).

Almost surely, 2^138808494720 is an apocalyptic number.

138808494720 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 138808494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283263710400).

138808494720 is an abundant number, since it is smaller than the sum of its proper divisors (427718926080).

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

138808494720 is an equidigital number, since it uses as much as digits as its factorization.

138808494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382557 (or 382536 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 138808494720 in words is "one hundred thirty-eight billion, eight hundred eight million, four hundred ninety-four thousand, seven hundred twenty".