| Base | Representation |
|---|---|
| bin | 10000000110101… |
| … | …01010011110000 |
| 3 | 100102012100121200 |
| 4 | 20003111103300 |
| 5 | 234040411230 |
| 6 | 21223251200 |
| 7 | 3230154411 |
| oct | 1003252360 |
| 9 | 312170550 |
| 10 | 135091440 |
| 11 | 6a28a220 |
| 12 | 392a9b00 |
| 13 | 21cac083 |
| 14 | 13d27808 |
| 15 | bcd7160 |
| hex | 80d54f0 |
135091440 has 240 divisors, whose sum is σ = 509404896. Its totient is φ = 31795200.
The previous prime is 135091399. The next prime is 135091441. The reversal of 135091440 is 44190531.
135091440 is a `hidden beast` number, since 13 + 509 + 144 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1350914402 = 36499394322547200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135091441) 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 47 ways as a sum of consecutive naturals, for example, 292810 + ... + 293270.
Almost surely, 2135091440 is an apocalyptic number.
135091440 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 135091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).
135091440 is an abundant number, since it is smaller than the sum of its proper divisors (374313456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135091440 is a wasteful number, since it uses less digits than its factorization.
135091440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 528 (or 519 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 135091440 is about 11622.8843236092. The cubic root of 135091440 is about 513.1085802335.
Subtracting from 135091440 its reverse (44190531), we obtain a palindrome (90900909).
It can be divided in two parts, 135091 and 440, that added together give a palindrome (135531).
The spelling of 135091440 in words is "one hundred thirty-five million, ninety-one thousand, four hundred forty".
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