138576384 has 240 divisors, whose sum is σ = 445250520. Its totient is φ = 41287680.

The previous prime is 138576379. The next prime is 138576409. The reversal of 138576384 is 483675831.

138576384 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 7 + 638 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102576384 + 36000000 = 10128^2 + 6000^2 .

Its product of digits (483840) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271714 + ... + 2271774.

Almost surely, 2^138576384 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 138576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222625260).

138576384 is an abundant number, since it is smaller than the sum of its proper divisors (306674136).

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

138576384 is a wasteful number, since it uses less digits than its factorization.

138576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 138576384 is about 11771.8470938082. The cubic root of 138576384 is about 517.4833825092.

The spelling of 138576384 in words is "one hundred thirty-eight million, five hundred seventy-six thousand, three hundred eighty-four".