It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 037 is not a prime number.
For example, 138 037 can be divided by 223: 138 037 / 223 = 619.
For 138 037 to be a prime number, it would have been required that 138 037 has only two divisors, i.e., itself and 1.
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138 037 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 138 037 is about 371.533.
Thus, the square root of 138 037 is not an integer, and therefore 138 037 is not a square number.
The square of a number (here 138 037) is the result of the product of this number (138 037) by itself (i.e., 138 037 × 138 037); the square of 138 037 is sometimes called "raising 138 037 to the power 2", or "138 037 squared".
The square of 138 037 is 19 054 213 369 because 138 037 × 138 037 = 138 0372 = 19 054 213 369.
As a consequence, 138 037 is the square root of 19 054 213 369.
The multiples of 138 037 are all integers evenly divisible by 138 037, that is all numbers such that the remainder of the division by 138 037 is zero. There are infinitely many multiples of 138 037. The smallest multiples of 138 037 are: