138081338382 has 64 divisors (see below), whose sum is σ = 307088216064. Its totient is φ = 41104177920.

The previous prime is 138081338347. The next prime is 138081338401. The reversal of 138081338382 is 283833180831.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12004458 + ... + 12015954.

It is an arithmetic number, because the mean of its divisors is an integer number (4798253376).

Almost surely, 2^138081338382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138081338382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544108032).

138081338382 is an abundant number, since it is smaller than the sum of its proper divisors (169006877682).

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

138081338382 is a wasteful number, since it uses less digits than its factorization.

138081338382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16513.

The product of its (nonzero) digits is 663552, while the sum is 48.

It can be divided in two parts, 13808 and 1338382, that added together give a triangular number (1352190 = T₁₆₄₄).

The spelling of 138081338382 in words is "one hundred thirty-eight billion, eighty-one million, three hundred thirty-eight thousand, three hundred eighty-two".