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138128224 = 2513332039
BaseRepresentation
bin10000011101110…
…10101101100000
3100121220122022011
420032322231200
5240330100344
621412322304
73265033123
oct1016725540
9317818264
10138128224
1170a73863
123a313394
13228033a0
14144b83ba
15c1d6d34
hex83bab60

138128224 has 24 divisors (see below), whose sum is σ = 292859280. Its totient is φ = 63751296.

The previous prime is 138128209. The next prime is 138128227. The reversal of 138128224 is 422821831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138128227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165604 + ... + 166435.

It is an arithmetic number, because the mean of its divisors is an integer number (12202470).

Almost surely, 2138128224 is an apocalyptic number.

It is an amenable number.

138128224 is an abundant number, since it is smaller than the sum of its proper divisors (154731056).

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

138128224 is a wasteful number, since it uses less digits than its factorization.

138128224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332062 (or 332054 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 138128224 is about 11752.7964331898. The cubic root of 138128224 is about 516.9249280233.

The spelling of 138128224 in words is "one hundred thirty-eight million, one hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 332039 664078 1328156 2656312 4316507 5312624 8633014 10625248 17266028 34532056 69064112 138128224