| Base | Representation |
|---|---|
| bin | 10000011101111… |
| … | …10000010000100 |
| 3 | 100121221022222000 |
| 4 | 20032332002010 |
| 5 | 240331014303 |
| 6 | 21412505300 |
| 7 | 3265120566 |
| oct | 1016760204 |
| 9 | 317838860 |
| 10 | 138141828 |
| 11 | 70a83000 |
| 12 | 3a31b230 |
| 13 | 22809636 |
| 14 | 144bd336 |
| 15 | c1dada3 |
| hex | 83be084 |
138141828 has 144 divisors (see below), whose sum is σ = 407050560. Its totient is φ = 40510800.
The previous prime is 138141827. The next prime is 138141851. The reversal of 138141828 is 828141831.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 138141792 and 138141801.
It is not an unprimeable number, because it can be changed into a prime (138141821) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4456173 + ... + 4456203.
It is an arithmetic number, because the mean of its divisors is an integer number (2826740).
Almost surely, 2138141828 is an apocalyptic number.
138141828 is a gapful number since it is divisible by the number (18) 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 138141828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203525280).
138141828 is an abundant number, since it is smaller than the sum of its proper divisors (268908732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138141828 is a wasteful number, since it uses less digits than its factorization.
138141828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 47 counting only the distinct ones).
The product of its digits is 12288, while the sum is 36.
The square root of 138141828 is about 11753.3751748168. The cubic root of 138141828 is about 516.9418978013.
The spelling of 138141828 in words is "one hundred thirty-eight million, one hundred forty-one thousand, eight hundred twenty-eight".
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