138562304 has 72 divisors (see below), whose sum is σ = 292717152. Its totient is φ = 65331200.

The previous prime is 138562273. The next prime is 138562313. The reversal of 138562304 is 403265831.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 594572 + ... + 594804.

It is an arithmetic number, because the mean of its divisors is an integer number (4065516).

Almost surely, 2^138562304 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 138562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146358576).

138562304 is an abundant number, since it is smaller than the sum of its proper divisors (154154848).

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

138562304 is a wasteful number, since it uses less digits than its factorization.

138562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 138562304 is about 11771.2490416268. The cubic root of 138562304 is about 517.4658556825.

The spelling of 138562304 in words is "one hundred thirty-eight million, five hundred sixty-two thousand, three hundred four".