It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 014 is not a prime number.
For example, 137 014 can be divided by 2: 137 014 / 2 = 68 507.
For 137 014 to be a prime number, it would have been required that 137 014 has only two divisors, i.e., itself and 1.
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137 014 is an even number, because it is evenly divisible by 2: 137 014 / 2 = 68 507.
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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 137 014 is about 370.154.
Thus, the square root of 137 014 is not an integer, and therefore 137 014 is not a square number.
The square of a number (here 137 014) is the result of the product of this number (137 014) by itself (i.e., 137 014 × 137 014); the square of 137 014 is sometimes called "raising 137 014 to the power 2", or "137 014 squared".
The square of 137 014 is 18 772 836 196 because 137 014 × 137 014 = 137 0142 = 18 772 836 196.
As a consequence, 137 014 is the square root of 18 772 836 196.
The multiples of 137 014 are all integers evenly divisible by 137 014, that is all numbers such that the remainder of the division by 137 014 is zero. There are infinitely many multiples of 137 014. The smallest multiples of 137 014 are: