138988224 has 126 divisors (see below), whose sum is σ = 414935924. Its totient is φ = 46189440.

The previous prime is 138988219. The next prime is 138988229. The reversal of 138988224 is 422889831.

It is an interprime number because it is at equal distance from previous prime (138988219) and next prime (138988229).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 138988224.

It is not an unprimeable number, because it can be changed into a prime (138988229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419739 + ... + 420069.

Almost surely, 2^138988224 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 138988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207467962).

138988224 is an abundant number, since it is smaller than the sum of its proper divisors (275947700).

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

138988224 is an frugal number, since it uses more digits than its factorization.

138988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 336 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 138988224 is about 11789.3266983318. The cubic root of 138988224 is about 517.9955178177.

It can be divided in two parts, 13898 and 8224, that added together give a palindrome (22122).

The spelling of 138988224 in words is "one hundred thirty-eight million, nine hundred eighty-eight thousand, two hundred twenty-four".