138706220448 has 192 divisors, whose sum is σ = 439591219200. Its totient is φ = 42388842240.

The previous prime is 138706220437. The next prime is 138706220449. The reversal of 138706220448 is 844022607831.

It is a happy number.

138706220448 is a `hidden beast` number, since 1 + 387 + 0 + 6 + 220 + 4 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (138706220449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372615 + ... + 645177.

It is an arithmetic number, because the mean of its divisors is an integer number (2289537600).

Almost surely, 2^138706220448 is an apocalyptic number.

138706220448 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 138706220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219795609600).

138706220448 is an abundant number, since it is smaller than the sum of its proper divisors (300884998752).

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

138706220448 is a wasteful number, since it uses less digits than its factorization.

138706220448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272632 (or 272618 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 138706220448 in words is "one hundred thirty-eight billion, seven hundred six million, two hundred twenty thousand, four hundred forty-eight".