| Base | Representation |
|---|---|
| bin | 10000011110001… |
| … | …11110111100000 |
| 3 | 100122000101020000 |
| 4 | 20033013313200 |
| 5 | 240333311422 |
| 6 | 21413420000 |
| 7 | 3265346205 |
| oct | 1017076740 |
| 9 | 318011200 |
| 10 | 138182112 |
| 11 | 710002a2 |
| 12 | 3a33a600 |
| 13 | 22821a83 |
| 14 | 144cdcac |
| 15 | c1e7cac |
| hex | 83c7de0 |
138182112 has 120 divisors (see below), whose sum is σ = 411642000. Its totient is φ = 45467136.
The previous prime is 138182111. The next prime is 138182113. The reversal of 138182112 is 211281831.
138182112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (138182111) and next prime (138182113).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138182111) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230389 + ... + 230987.
It is an arithmetic number, because the mean of its divisors is an integer number (3430350).
Almost surely, 2138182112 is an apocalyptic number.
138182112 is a gapful number since it is divisible by the number (12) 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 138182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205821000).
138182112 is an abundant number, since it is smaller than the sum of its proper divisors (273459888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138182112 is an equidigital number, since it uses as much as digits as its factorization.
138182112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 710 (or 693 counting only the distinct ones).
The product of its digits is 768, while the sum is 27.
The square root of 138182112 is about 11755.0887704007. The cubic root of 138182112 is about 516.9921419690.
The spelling of 138182112 in words is "one hundred thirty-eight million, one hundred eighty-two thousand, one hundred twelve".
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