138044448 has 144 divisors (see below), whose sum is σ = 409945536. Its totient is φ = 44029440.

The previous prime is 138044441. The next prime is 138044449. The reversal of 138044448 is 844440831.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138044441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879186 + ... + 879342.

It is an arithmetic number, because the mean of its divisors is an integer number (2846844).

Almost surely, 2^138044448 is an apocalyptic number.

138044448 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 138044448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204972768).

138044448 is an abundant number, since it is smaller than the sum of its proper divisors (271901088).

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

138044448 is a wasteful number, since it uses less digits than its factorization.

138044448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 138044448 is about 11749.2318046756. The cubic root of 138044448 is about 516.8204003615.

The spelling of 138044448 in words is "one hundred thirty-eight million, forty-four thousand, four hundred forty-eight".