138181984 has 96 divisors (see below), whose sum is σ = 314344800. Its totient is φ = 59351040.

The previous prime is 138181963. The next prime is 138181987. The reversal of 138181984 is 489181831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 138181984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138181987) by changing a digit.

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, 299514 + ... + 299974.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 2^138181984 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 138181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157172400).

138181984 is an abundant number, since it is smaller than the sum of its proper divisors (176162816).

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

138181984 is a wasteful number, since it uses less digits than its factorization.

138181984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 55296, while the sum is 43.

The square root of 138181984 is about 11755.0833259488. The cubic root of 138181984 is about 516.9919823366.

The spelling of 138181984 in words is "one hundred thirty-eight million, one hundred eighty-one thousand, nine hundred eighty-four".