It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 338 is not a prime number.
For example, 137 338 can be divided by 2: 137 338 / 2 = 68 669.
For 137 338 to be a prime number, it would have been required that 137 338 has only two divisors, i.e., itself and 1.
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137 338 is an even number, because it is evenly divisible by 2: 137 338 / 2 = 68 669.
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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 137 338 is about 370.591.
Thus, the square root of 137 338 is not an integer, and therefore 137 338 is not a square number.
The square of a number (here 137 338) is the result of the product of this number (137 338) by itself (i.e., 137 338 × 137 338); the square of 137 338 is sometimes called "raising 137 338 to the power 2", or "137 338 squared".
The square of 137 338 is 18 861 726 244 because 137 338 × 137 338 = 137 3382 = 18 861 726 244.
As a consequence, 137 338 is the square root of 18 861 726 244.
The multiples of 137 338 are all integers evenly divisible by 137 338, that is all numbers such that the remainder of the division by 137 338 is zero. There are infinitely many multiples of 137 338. The smallest multiples of 137 338 are: