138001584 has 80 divisors (see below), whose sum is σ = 420608000. Its totient is φ = 38154240.

The previous prime is 138001519. The next prime is 138001621. The reversal of 138001584 is 485100831.

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 15 ways as a sum of consecutive naturals, for example, 3792 + ... + 17040.

It is an arithmetic number, because the mean of its divisors is an integer number (5257600).

Almost surely, 2^138001584 is an apocalyptic number.

138001584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138001584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210304000).

138001584 is an abundant number, since it is smaller than the sum of its proper divisors (282606416).

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

138001584 is a wasteful number, since it uses less digits than its factorization.

138001584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 138001584 is about 11747.4075437945. The cubic root of 138001584 is about 516.7669024163.

The spelling of 138001584 in words is "one hundred thirty-eight million, one thousand, five hundred eighty-four".