138409344 has 128 divisors (see below), whose sum is σ = 422892000. Its totient is φ = 44513280.

The previous prime is 138409333. The next prime is 138409351. The reversal of 138409344 is 443904831.

138409344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 138409299 and 138409308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99534 + ... + 100914.

Almost surely, 2^138409344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211446000).

138409344 is an abundant number, since it is smaller than the sum of its proper divisors (284482656).

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

138409344 is a wasteful number, since it uses less digits than its factorization.

138409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 138409344 is about 11764.7500610935. The cubic root of 138409344 is about 517.2753740526.

The spelling of 138409344 in words is "one hundred thirty-eight million, four hundred nine thousand, three hundred forty-four".