138388422240 has 576 divisors, whose sum is σ = 510851577600. Its totient is φ = 35334641664.

The previous prime is 138388422217. The next prime is 138388422257. The reversal of 138388422240 is 42224883831.

138388422240 is a `hidden beast` number, since 1 + 3 + 8 + 388 + 4 + 22 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156724839 + ... + 156725721.

It is an arithmetic number, because the mean of its divisors is an integer number (886895100).

Almost surely, 2^138388422240 is an apocalyptic number.

138388422240 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 138388422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255425788800).

138388422240 is an abundant number, since it is smaller than the sum of its proper divisors (372463155360).

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

138388422240 is a wasteful number, since it uses less digits than its factorization.

138388422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 138388422240 in words is "one hundred thirty-eight billion, three hundred eighty-eight million, four hundred twenty-two thousand, two hundred forty".