138349224 has 96 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 42007680.

The previous prime is 138349223. The next prime is 138349229. The reversal of 138349224 is 422943831.

138349224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (138349223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73009 + ... + 74879.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2^138349224 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 138349224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

138349224 is an abundant number, since it is smaller than the sum of its proper divisors (270495576).

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

138349224 is a wasteful number, since it uses less digits than its factorization.

138349224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138349224 is about 11762.1946931684. The cubic root of 138349224 is about 517.2004679844.

The spelling of 138349224 in words is "one hundred thirty-eight million, three hundred forty-nine thousand, two hundred twenty-four".