It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 198 137 is not a prime number.
For example, 198 137 can be divided by 347: 198 137 / 347 = 571.
For 198 137 to be a prime number, it would have been required that 198 137 has only two divisors, i.e., itself and 1.
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198 137 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 198 137 is about 445.126.
Thus, the square root of 198 137 is not an integer, and therefore 198 137 is not a square number.
The square of a number (here 198 137) is the result of the product of this number (198 137) by itself (i.e., 198 137 × 198 137); the square of 198 137 is sometimes called "raising 198 137 to the power 2", or "198 137 squared".
The square of 198 137 is 39 258 270 769 because 198 137 × 198 137 = 198 1372 = 39 258 270 769.
As a consequence, 198 137 is the square root of 39 258 270 769.
The multiples of 198 137 are all integers evenly divisible by 198 137, that is all numbers such that the remainder of the division by 198 137 is zero. There are infinitely many multiples of 198 137. The smallest multiples of 198 137 are: