138607344 has 60 divisors (see below), whose sum is σ = 392615496. Its totient is φ = 45641856.

The previous prime is 138607321. The next prime is 138607351. The reversal of 138607344 is 443706831.

138607344 is a `hidden beast` number, since 1 + 3 + 8 + 607 + 3 + 44 = 666.

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 = 138607299 and 138607308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6154 + ... + 17750.

Almost surely, 2^138607344 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 138607344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196307748).

138607344 is an abundant number, since it is smaller than the sum of its proper divisors (254008152).

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

138607344 is a wasteful number, since it uses less digits than its factorization.

138607344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 138607344 is about 11773.1620221587. The cubic root of 138607344 is about 517.5219174362.

The spelling of 138607344 in words is "one hundred thirty-eight million, six hundred seven thousand, three hundred forty-four".