138444384 has 48 divisors (see below), whose sum is σ = 391375152. Its totient is φ = 42597888.

The previous prime is 138444377. The next prime is 138444403. The reversal of 138444384 is 483444831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×138444384² = 38333694922278912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 7 ways as a sum of consecutive naturals, for example, 54219 + ... + 56714.

It is an arithmetic number, because the mean of its divisors is an integer number (8153649).

Almost surely, 2^138444384 is an apocalyptic number.

It is an amenable number.

138444384 is an abundant number, since it is smaller than the sum of its proper divisors (252930768).

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

138444384 is a wasteful number, since it uses less digits than its factorization.

138444384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110959 (or 110951 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 138444384 is about 11766.2391612613. The cubic root of 138444384 is about 517.3190218759.

The spelling of 138444384 in words is "one hundred thirty-eight million, four hundred forty-four thousand, three hundred eighty-four".