138826340046208 has 128 divisors (see below), whose sum is σ = 288871589779200. Its totient is φ = 66331103139840.

The previous prime is 138826340046193. The next prime is 138826340046239. The reversal of 138826340046208 is 802640043628831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16489643023 + ... + 16489651441.

It is an arithmetic number, because the mean of its divisors is an integer number (2256809295150).

Almost surely, 2^{138826340046208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138826340046208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435794889600).

138826340046208 is an abundant number, since it is smaller than the sum of its proper divisors (150045249732992).

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

138826340046208 is a wasteful number, since it uses less digits than its factorization.

138826340046208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 138826340046208 in words is "one hundred thirty-eight trillion, eight hundred twenty-six billion, three hundred forty million, forty-six thousand, two hundred eight".