It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 307 is not a prime number.
For example, 135 307 can be divided by 269: 135 307 / 269 = 503.
For 135 307 to be a prime number, it would have been required that 135 307 has only two divisors, i.e., itself and 1.
Find out more:
135 307 is an odd number, because it is not evenly divisible by 2.
Find out more:
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 135 307 is about 367.841.
Thus, the square root of 135 307 is not an integer, and therefore 135 307 is not a square number.
The square of a number (here 135 307) is the result of the product of this number (135 307) by itself (i.e., 135 307 × 135 307); the square of 135 307 is sometimes called "raising 135 307 to the power 2", or "135 307 squared".
The square of 135 307 is 18 307 984 249 because 135 307 × 135 307 = 135 3072 = 18 307 984 249.
As a consequence, 135 307 is the square root of 18 307 984 249.
The multiples of 135 307 are all integers evenly divisible by 135 307, that is all numbers such that the remainder of the division by 135 307 is zero. There are infinitely many multiples of 135 307. The smallest multiples of 135 307 are: