138481105360 has 80 divisors (see below), whose sum is σ = 347417920080. Its totient is φ = 51030835200.

The previous prime is 138481105337. The next prime is 138481105379. The reversal of 138481105360 is 63501184831.

It is a happy number.

138481105360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19080449424 + 119400655936 = 138132^2 + 345544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398560 + ... + 660160.

It is an arithmetic number, because the mean of its divisors is an integer number (4342724001).

Almost surely, 2^138481105360 is an apocalyptic number.

138481105360 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 138481105360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173708960040).

138481105360 is an abundant number, since it is smaller than the sum of its proper divisors (208936814720).

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

138481105360 is a wasteful number, since it uses less digits than its factorization.

138481105360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262136 (or 262130 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 138481105360 in words is "one hundred thirty-eight billion, four hundred eighty-one million, one hundred five thousand, three hundred sixty".