138340584 has 96 divisors (see below), whose sum is σ = 394430400. Its totient is φ = 43718400.

The previous prime is 138340571. The next prime is 138340591. The reversal of 138340584 is 485043831.

138340584 is a `hidden beast` number, since 1 + 38 + 3 + 40 + 584 = 666.

138340584 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138340584² = 38276234362922112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229884 + ... + 230484.

It is an arithmetic number, because the mean of its divisors is an integer number (4108650).

Almost surely, 2^138340584 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 138340584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197215200).

138340584 is an abundant number, since it is smaller than the sum of its proper divisors (256089816).

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

138340584 is a wasteful number, since it uses less digits than its factorization.

138340584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 138340584 is about 11761.8274090381. The cubic root of 138340584 is about 517.1897012572.

The spelling of 138340584 in words is "one hundred thirty-eight million, three hundred forty thousand, five hundred eighty-four".