It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 243 is not a prime number.
For example, 135 243 can be divided by 3: 135 243 / 3 = 45 081.
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For 135 243 to be a prime number, it would have been required that 135 243 has only two divisors, i.e., itself and 1.
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135 243 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 135 243 is about 367.754.
Thus, the square root of 135 243 is not an integer, and therefore 135 243 is not a square number.
The square of a number (here 135 243) is the result of the product of this number (135 243) by itself (i.e., 135 243 × 135 243); the square of 135 243 is sometimes called "raising 135 243 to the power 2", or "135 243 squared".
The square of 135 243 is 18 290 669 049 because 135 243 × 135 243 = 135 2432 = 18 290 669 049.
As a consequence, 135 243 is the square root of 18 290 669 049.
The multiples of 135 243 are all integers evenly divisible by 135 243, that is all numbers such that the remainder of the division by 135 243 is zero. There are infinitely many multiples of 135 243. The smallest multiples of 135 243 are: