| Base | Representation |
|---|---|
| bin | 10000001000010… |
| … | …01101010000000 |
| 3 | 100102121020202000 |
| 4 | 20010021222000 |
| 5 | 234114241411 |
| 6 | 21232024000 |
| 7 | 3232036500 |
| oct | 1004115200 |
| 9 | 312536660 |
| 10 | 135305856 |
| 11 | 6a416324 |
| 12 | 39392000 |
| 13 | 2205584a |
| 14 | 13d81a00 |
| 15 | bd2a956 |
| hex | 8109a80 |
135305856 has 384 divisors, whose sum is σ = 502329600. Its totient is φ = 35610624.
The previous prime is 135305843. The next prime is 135305867. The reversal of 135305856 is 658503531.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 135305856.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878825 + ... + 2878871.
It is an arithmetic number, because the mean of its divisors is an integer number (1308150).
Almost surely, 2135305856 is an apocalyptic number.
135305856 is a gapful number since it is divisible by the number (16) 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 135305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).
135305856 is an abundant number, since it is smaller than the sum of its proper divisors (367023744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135305856 is a wasteful number, since it uses less digits than its factorization.
135305856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 54000, while the sum is 36.
The square root of 135305856 is about 11632.1045387324. The cubic root of 135305856 is about 513.3799039475.
It can be divided in two parts, 135305 and 856, that added together give a square (136161 = 3692).
The spelling of 135305856 in words is "one hundred thirty-five million, three hundred five thousand, eight hundred fifty-six".
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