138418624 has 112 divisors (see below), whose sum is σ = 311078880. Its totient is φ = 60784640.

The previous prime is 138418603. The next prime is 138418649. The reversal of 138418624 is 426814831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293579 + ... + 1293685.

It is an arithmetic number, because the mean of its divisors is an integer number (2777490).

Almost surely, 2^138418624 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 138418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155539440).

138418624 is an abundant number, since it is smaller than the sum of its proper divisors (172660256).

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

138418624 is a wasteful number, since it uses less digits than its factorization.

138418624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 138418624 is about 11765.1444530018. The cubic root of 138418624 is about 517.2869344672.

The spelling of 138418624 in words is "one hundred thirty-eight million, four hundred eighteen thousand, six hundred twenty-four".