It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 367 is not a prime number.
For example, 138 367 can be divided by 179: 138 367 / 179 = 773.
For 138 367 to be a prime number, it would have been required that 138 367 has only two divisors, i.e., itself and 1.
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138 367 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 138 367 is about 371.977.
Thus, the square root of 138 367 is not an integer, and therefore 138 367 is not a square number.
The square of a number (here 138 367) is the result of the product of this number (138 367) by itself (i.e., 138 367 × 138 367); the square of 138 367 is sometimes called "raising 138 367 to the power 2", or "138 367 squared".
The square of 138 367 is 19 145 426 689 because 138 367 × 138 367 = 138 3672 = 19 145 426 689.
As a consequence, 138 367 is the square root of 19 145 426 689.
The multiples of 138 367 are all integers evenly divisible by 138 367, that is all numbers such that the remainder of the division by 138 367 is zero. There are infinitely many multiples of 138 367. The smallest multiples of 138 367 are: