It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 009 is not a prime number.
For example, 135 009 can be divided by 3: 135 009 / 3 = 45 003.
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For 135 009 to be a prime number, it would have been required that 135 009 has only two divisors, i.e., itself and 1.
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135 009 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 135 009 is about 367.436.
Thus, the square root of 135 009 is not an integer, and therefore 135 009 is not a square number.
The square of a number (here 135 009) is the result of the product of this number (135 009) by itself (i.e., 135 009 × 135 009); the square of 135 009 is sometimes called "raising 135 009 to the power 2", or "135 009 squared".
The square of 135 009 is 18 227 430 081 because 135 009 × 135 009 = 135 0092 = 18 227 430 081.
As a consequence, 135 009 is the square root of 18 227 430 081.
The multiples of 135 009 are all integers evenly divisible by 135 009, that is all numbers such that the remainder of the division by 135 009 is zero. There are infinitely many multiples of 135 009. The smallest multiples of 135 009 are: