138080448 has 336 divisors, whose sum is σ = 481827840. Its totient is φ = 37324800.

The previous prime is 138080441. The next prime is 138080483. The reversal of 138080448 is 844080831.

138080448 is a `hidden beast` number, since 138 + 0 + 80 + 448 = 666.

138080448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138080441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3731886 + ... + 3731922.

Almost surely, 2^138080448 is an apocalyptic number.

138080448 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 138080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240913920).

138080448 is an abundant number, since it is smaller than the sum of its proper divisors (343747392).

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

138080448 is a wasteful number, since it uses less digits than its factorization.

138080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 138080448 is about 11750.7637198609. The cubic root of 138080448 is about 516.8653228909.

The spelling of 138080448 in words is "one hundred thirty-eight million, eighty thousand, four hundred forty-eight".