It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 156 is not a prime number.
For example, 138 156 can be divided by 2: 138 156 / 2 = 69 078.
For 138 156 to be a prime number, it would have been required that 138 156 has only two divisors, i.e., itself and 1.
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138 156 is an even number, because it is evenly divisible by 2: 138 156 / 2 = 69 078.
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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 138 156 is about 371.693.
Thus, the square root of 138 156 is not an integer, and therefore 138 156 is not a square number.
The square of a number (here 138 156) is the result of the product of this number (138 156) by itself (i.e., 138 156 × 138 156); the square of 138 156 is sometimes called "raising 138 156 to the power 2", or "138 156 squared".
The square of 138 156 is 19 087 080 336 because 138 156 × 138 156 = 138 1562 = 19 087 080 336.
As a consequence, 138 156 is the square root of 19 087 080 336.
The multiples of 138 156 are all integers evenly divisible by 138 156, that is all numbers such that the remainder of the division by 138 156 is zero. There are infinitely many multiples of 138 156. The smallest multiples of 138 156 are: