It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 073 is not a prime number.
For example, 138 073 can be divided by 13: 138 073 / 13 = 10 621.
For 138 073 to be a prime number, it would have been required that 138 073 has only two divisors, i.e., itself and 1.
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138 073 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 138 073 is about 371.582.
Thus, the square root of 138 073 is not an integer, and therefore 138 073 is not a square number.
The square of a number (here 138 073) is the result of the product of this number (138 073) by itself (i.e., 138 073 × 138 073); the square of 138 073 is sometimes called "raising 138 073 to the power 2", or "138 073 squared".
The square of 138 073 is 19 064 153 329 because 138 073 × 138 073 = 138 0732 = 19 064 153 329.
As a consequence, 138 073 is the square root of 19 064 153 329.
The multiples of 138 073 are all integers evenly divisible by 138 073, that is all numbers such that the remainder of the division by 138 073 is zero. There are infinitely many multiples of 138 073. The smallest multiples of 138 073 are: