138943584 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 38486016.

The previous prime is 138943583. The next prime is 138943589. The reversal of 138943584 is 485349831.

138943584 is a `hidden beast` number, since 138 + 9 + 435 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138943583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354947 + ... + 2355005.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^138943584 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 138943584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

138943584 is an abundant number, since it is smaller than the sum of its proper divisors (331621056).

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

138943584 is a wasteful number, since it uses less digits than its factorization.

138943584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 138943584 is about 11787.4333084009. The cubic root of 138943584 is about 517.9400555748.

The spelling of 138943584 in words is "one hundred thirty-eight million, nine hundred forty-three thousand, five hundred eighty-four".