It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 636 is not a prime number.
For example, 138 636 can be divided by 2: 138 636 / 2 = 69 318.
For 138 636 to be a prime number, it would have been required that 138 636 has only two divisors, i.e., itself and 1.
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138 636 is an even number, because it is evenly divisible by 2: 138 636 / 2 = 69 318.
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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 138 636 is about 372.339.
Thus, the square root of 138 636 is not an integer, and therefore 138 636 is not a square number.
The square of a number (here 138 636) is the result of the product of this number (138 636) by itself (i.e., 138 636 × 138 636); the square of 138 636 is sometimes called "raising 138 636 to the power 2", or "138 636 squared".
The square of 138 636 is 19 219 940 496 because 138 636 × 138 636 = 138 6362 = 19 219 940 496.
As a consequence, 138 636 is the square root of 19 219 940 496.
The multiples of 138 636 are all integers evenly divisible by 138 636, that is all numbers such that the remainder of the division by 138 636 is zero. There are infinitely many multiples of 138 636. The smallest multiples of 138 636 are: