It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 132 509 is not a prime number.
For example, 132 509 can be divided by 13: 132 509 / 13 = 10 193.
For 132 509 to be a prime number, it would have been required that 132 509 has only two divisors, i.e., itself and 1.
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132 509 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 132 509 is about 364.018.
Thus, the square root of 132 509 is not an integer, and therefore 132 509 is not a square number.
The square of a number (here 132 509) is the result of the product of this number (132 509) by itself (i.e., 132 509 × 132 509); the square of 132 509 is sometimes called "raising 132 509 to the power 2", or "132 509 squared".
The square of 132 509 is 17 558 635 081 because 132 509 × 132 509 = 132 5092 = 17 558 635 081.
As a consequence, 132 509 is the square root of 17 558 635 081.
The multiples of 132 509 are all integers evenly divisible by 132 509, that is all numbers such that the remainder of the division by 132 509 is zero. There are infinitely many multiples of 132 509. The smallest multiples of 132 509 are: