| Base | Representation |
|---|---|
| bin | 10000011110000… |
| … | …11011010100000 |
| 3 | 100121222110012110 |
| 4 | 20033003122200 |
| 5 | 240332220442 |
| 6 | 21413155320 |
| 7 | 3265242060 |
| oct | 1017033240 |
| 9 | 317873173 |
| 10 | 138163872 |
| 11 | 70a98620 |
| 12 | 3a32bb40 |
| 13 | 22816692 |
| 14 | 144c73a0 |
| 15 | c1e269c |
| hex | 83c36a0 |
138163872 has 96 divisors (see below), whose sum is σ = 452196864. Its totient is φ = 35884800.
The previous prime is 138163819. The next prime is 138163889. The reversal of 138163872 is 278361831.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
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 138163872.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1954 + ... + 16737.
It is an arithmetic number, because the mean of its divisors is an integer number (4710384).
Almost surely, 2138163872 is an apocalyptic number.
138163872 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 138163872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226098432).
138163872 is an abundant number, since it is smaller than the sum of its proper divisors (314032992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138163872 is a wasteful number, since it uses less digits than its factorization.
138163872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18722 (or 18714 counting only the distinct ones).
The product of its digits is 48384, while the sum is 39.
The square root of 138163872 is about 11754.3129105873. The cubic root of 138163872 is about 516.9693933621.
The spelling of 138163872 in words is "one hundred thirty-eight million, one hundred sixty-three thousand, eight hundred seventy-two".
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