| Base | Representation |
|---|---|
| bin | 10000000110010… |
| … | …10101111010000 |
| 3 | 100102010011020010 |
| 4 | 20003022233100 |
| 5 | 234033020034 |
| 6 | 21222314520 |
| 7 | 3226614240 |
| oct | 1003125720 |
| 9 | 312104203 |
| 10 | 135048144 |
| 11 | 6a25a740 |
| 12 | 39288a40 |
| 13 | 21c9545a |
| 14 | 13d15b20 |
| 15 | bcc93e9 |
| hex | 80cabd0 |
135048144 has 160 divisors (see below), whose sum is σ = 442828800. Its totient is φ = 34444800.
The previous prime is 135048139. The next prime is 135048149. The reversal of 135048144 is 441840531.
It is an interprime number because it is at equal distance from previous prime (135048139) and next prime (135048149).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135048149) 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 31 ways as a sum of consecutive naturals, for example, 225157 + ... + 225755.
It is an arithmetic number, because the mean of its divisors is an integer number (2767680).
Almost surely, 2135048144 is an apocalyptic number.
135048144 is a gapful number since it is divisible by the number (14) 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 135048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).
135048144 is an abundant number, since it is smaller than the sum of its proper divisors (307780656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135048144 is a wasteful number, since it uses less digits than its factorization.
135048144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 689 (or 683 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 30.
The square root of 135048144 is about 11621.0216418351. The cubic root of 135048144 is about 513.0537582975.
Adding to 135048144 its reverse (441840531), we get a palindrome (576888675).
It can be divided in two parts, 1350 and 48144, that added together give a palindrome (49494).
The spelling of 135048144 in words is "one hundred thirty-five million, forty-eight thousand, one hundred forty-four".
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