It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 362 is not a prime number.
For example, 138 362 can be divided by 2: 138 362 / 2 = 69 181.
For 138 362 to be a prime number, it would have been required that 138 362 has only two divisors, i.e., itself and 1.
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138 362 is an even number, because it is evenly divisible by 2: 138 362 / 2 = 69 181.
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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 138 362 is about 371.970.
Thus, the square root of 138 362 is not an integer, and therefore 138 362 is not a square number.
The square of a number (here 138 362) is the result of the product of this number (138 362) by itself (i.e., 138 362 × 138 362); the square of 138 362 is sometimes called "raising 138 362 to the power 2", or "138 362 squared".
The square of 138 362 is 19 144 043 044 because 138 362 × 138 362 = 138 3622 = 19 144 043 044.
As a consequence, 138 362 is the square root of 19 144 043 044.
The multiples of 138 362 are all integers evenly divisible by 138 362, that is all numbers such that the remainder of the division by 138 362 is zero. There are infinitely many multiples of 138 362. The smallest multiples of 138 362 are: