138384372 has 96 divisors (see below), whose sum is σ = 401121280. Its totient is φ = 36236160.

The previous prime is 138384361. The next prime is 138384377. The reversal of 138384372 is 273483831.

It is a self number, because there is not a number n which added to its sum of digits gives 138384372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138384377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48078 + ... + 50874.

Almost surely, 2^138384372 is an apocalyptic number.

138384372 is a gapful number since it is divisible by the number (12) 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 138384372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200560640).

138384372 is an abundant number, since it is smaller than the sum of its proper divisors (262736908).

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

138384372 is a wasteful number, since it uses less digits than its factorization.

138384372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2859 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 138384372 is about 11763.6887072040. The cubic root of 138384372 is about 517.2442630086.

It can be divided in two parts, 138384 and 372, that multiplied together give a cube (51478848 = 372³).

The spelling of 138384372 in words is "one hundred thirty-eight million, three hundred eighty-four thousand, three hundred seventy-two".