138324384 has 144 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 40980480.

The previous prime is 138324377. The next prime is 138324409. The reversal of 138324384 is 483423831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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.

It is a congruent number.

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, 148432 + ... + 149360.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^138324384 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 138324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

138324384 is an abundant number, since it is smaller than the sum of its proper divisors (300397536).

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

138324384 is a wasteful number, since it uses less digits than its factorization.

138324384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 992 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 138324384 is about 11761.1387203791. The cubic root of 138324384 is about 517.1695124353.

The spelling of 138324384 in words is "one hundred thirty-eight million, three hundred twenty-four thousand, three hundred eighty-four".