138682682208 has 288 divisors, whose sum is σ = 462515429376. Its totient is φ = 38591852544.

The previous prime is 138682682207. The next prime is 138682682221. The reversal of 138682682208 is 802286286831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138682682207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33199416 + ... + 33203592.

It is an arithmetic number, because the mean of its divisors is an integer number (1605956352).

Almost surely, 2^138682682208 is an apocalyptic number.

138682682208 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 138682682208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231257714688).

138682682208 is an abundant number, since it is smaller than the sum of its proper divisors (323832747168).

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

138682682208 is a wasteful number, since it uses less digits than its factorization.

138682682208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 138682682208 in words is "one hundred thirty-eight billion, six hundred eighty-two million, six hundred eighty-two thousand, two hundred eight".