| Base | Representation |
|---|---|
| bin | 10000001011001… |
| … | …01110011010000 |
| 3 | 100110022102110200 |
| 4 | 20011211303100 |
| 5 | 234213331110 |
| 6 | 21244055200 |
| 7 | 3235201035 |
| oct | 1005456320 |
| 9 | 313272420 |
| 10 | 135683280 |
| 11 | 6a653947 |
| 12 | 39534500 |
| 13 | 22158585 |
| 14 | 1403d38c |
| 15 | bda26c0 |
| hex | 8165cd0 |
135683280 has 120 divisors (see below), whose sum is σ = 470446080. Its totient is φ = 35009280.
The previous prime is 135683269. The next prime is 135683287. The reversal of 135683280 is 82386531.
135683280 is a `hidden beast` number, since 13 + 568 + 3 + 2 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (135683287) 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 23 ways as a sum of consecutive naturals, for example, 19281 + ... + 25359.
It is an arithmetic number, because the mean of its divisors is an integer number (3920384).
Almost surely, 2135683280 is an apocalyptic number.
135683280 is a gapful number since it is divisible by the number (10) 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 135683280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235223040).
135683280 is an abundant number, since it is smaller than the sum of its proper divisors (334762800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135683280 is a wasteful number, since it uses less digits than its factorization.
135683280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6129 (or 6120 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 135683280 is about 11648.3166165760. The cubic root of 135683280 is about 513.8568037669.
The spelling of 135683280 in words is "one hundred thirty-five million, six hundred eighty-three thousand, two hundred eighty".
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