It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 189 is not a prime number.
For example, 135 189 can be divided by 3: 135 189 / 3 = 45 063.
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For 135 189 to be a prime number, it would have been required that 135 189 has only two divisors, i.e., itself and 1.
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135 189 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 135 189 is about 367.681.
Thus, the square root of 135 189 is not an integer, and therefore 135 189 is not a square number.
The square of a number (here 135 189) is the result of the product of this number (135 189) by itself (i.e., 135 189 × 135 189); the square of 135 189 is sometimes called "raising 135 189 to the power 2", or "135 189 squared".
The square of 135 189 is 18 276 065 721 because 135 189 × 135 189 = 135 1892 = 18 276 065 721.
As a consequence, 135 189 is the square root of 18 276 065 721.
The multiples of 135 189 are all integers evenly divisible by 135 189, that is all numbers such that the remainder of the division by 135 189 is zero. There are infinitely many multiples of 135 189. The smallest multiples of 135 189 are: