138144384 has 192 divisors, whose sum is σ = 467600640. Its totient is φ = 38320128.

The previous prime is 138144367. The next prime is 138144473. The reversal of 138144384 is 483441831.

138144384 is a `hidden beast` number, since 138 + 1 + 443 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36864) is a multiple of the sum of its prime divisors (512).

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, 298137 + ... + 298599.

It is an arithmetic number, because the mean of its divisors is an integer number (2435420).

Almost surely, 2^138144384 is an apocalyptic number.

138144384 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 138144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233800320).

138144384 is an abundant number, since it is smaller than the sum of its proper divisors (329456256).

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

138144384 is a wasteful number, since it uses less digits than its factorization.

138144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 138144384 is about 11753.4839090374. The cubic root of 138144384 is about 516.9450860592.

The spelling of 138144384 in words is "one hundred thirty-eight million, one hundred forty-four thousand, three hundred eighty-four".