It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 343 is not a prime number.
For example, 135 343 can be divided by 13: 135 343 / 13 = 10 411.
For 135 343 to be a prime number, it would have been required that 135 343 has only two divisors, i.e., itself and 1.
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135 343 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 135 343 is about 367.890.
Thus, the square root of 135 343 is not an integer, and therefore 135 343 is not a square number.
The square of a number (here 135 343) is the result of the product of this number (135 343) by itself (i.e., 135 343 × 135 343); the square of 135 343 is sometimes called "raising 135 343 to the power 2", or "135 343 squared".
The square of 135 343 is 18 317 727 649 because 135 343 × 135 343 = 135 3432 = 18 317 727 649.
As a consequence, 135 343 is the square root of 18 317 727 649.
The multiples of 135 343 are all integers evenly divisible by 135 343, that is all numbers such that the remainder of the division by 135 343 is zero. There are infinitely many multiples of 135 343. The smallest multiples of 135 343 are: