| Base | Representation |
|---|---|
| bin | 10000011111001… |
| … | …01100010100000 |
| 3 | 100122020112221100 |
| 4 | 20033211202200 |
| 5 | 240401204043 |
| 6 | 21420154400 |
| 7 | 3266363430 |
| oct | 1017454240 |
| 9 | 318215840 |
| 10 | 138303648 |
| 11 | 7108363a |
| 12 | 3a398a00 |
| 13 | 228651a2 |
| 14 | 145222c0 |
| 15 | c21dcd3 |
| hex | 83e58a0 |
138303648 has 144 divisors (see below), whose sum is σ = 464196096. Its totient is φ = 38223360.
The previous prime is 138303637. The next prime is 138303661. The reversal of 138303648 is 846303831.
It is a happy number.
138303648 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 0 + 3 + 648 = 666.
138303648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 23 ways as a sum of consecutive naturals, for example, 61390 + ... + 63602.
It is an arithmetic number, because the mean of its divisors is an integer number (3223584).
Almost surely, 2138303648 is an apocalyptic number.
138303648 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 138303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098048).
138303648 is an abundant number, since it is smaller than the sum of its proper divisors (325892448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138303648 is a wasteful number, since it uses less digits than its factorization.
138303648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2267 (or 2256 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 138303648 is about 11760.2571400459. The cubic root of 138303648 is about 517.1436684431.
The spelling of 138303648 in words is "one hundred thirty-eight million, three hundred three thousand, six hundred forty-eight".
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