| Base | Representation |
|---|---|
| bin | 10000011110011… |
| … | …00111011100000 |
| 3 | 100122001102200000 |
| 4 | 20033030323200 |
| 5 | 240334442343 |
| 6 | 21414100000 |
| 7 | 3265463520 |
| oct | 1017147340 |
| 9 | 318042600 |
| 10 | 138202848 |
| 11 | 71014933 |
| 12 | 3a34a600 |
| 13 | 2282b344 |
| 14 | 144d7680 |
| 15 | c1eded3 |
| hex | 83ccee0 |
138202848 has 144 divisors (see below), whose sum is σ = 465978240. Its totient is φ = 39470976.
The previous prime is 138202847. The next prime is 138202891. The reversal of 138202848 is 848202831.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1382028482 = 38200054390622208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138202847) 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 23 ways as a sum of consecutive naturals, for example, 53163 + ... + 55701.
It is an arithmetic number, because the mean of its divisors is an integer number (3235960).
Almost surely, 2138202848 is an apocalyptic number.
138202848 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 138202848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232989120).
138202848 is an abundant number, since it is smaller than the sum of its proper divisors (327775392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138202848 is an equidigital number, since it uses as much as digits as its factorization.
138202848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2571 (or 2551 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 138202848 is about 11755.9707383100. The cubic root of 138202848 is about 517.0180011117.
The spelling of 138202848 in words is "one hundred thirty-eight million, two hundred two thousand, eight hundred forty-eight".
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