138418224 has 160 divisors (see below), whose sum is σ = 429305856. Its totient is φ = 37601280.

The previous prime is 138418219. The next prime is 138418289. The reversal of 138418224 is 422814831.

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 31 ways as a sum of consecutive naturals, for example, 1010284 + ... + 1010420.

Almost surely, 2^138418224 is an apocalyptic number.

138418224 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 138418224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214652928).

138418224 is an abundant number, since it is smaller than the sum of its proper divisors (290887632).

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

138418224 is a wasteful number, since it uses less digits than its factorization.

138418224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 138418224 is about 11765.1274536233. The cubic root of 138418224 is about 517.2864361841.

The spelling of 138418224 in words is "one hundred thirty-eight million, four hundred eighteen thousand, two hundred twenty-four".