It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 078 is not a prime number.
For example, 137 078 can be divided by 2: 137 078 / 2 = 68 539.
For 137 078 to be a prime number, it would have been required that 137 078 has only two divisors, i.e., itself and 1.
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137 078 is an even number, because it is evenly divisible by 2: 137 078 / 2 = 68 539.
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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 137 078 is about 370.240.
Thus, the square root of 137 078 is not an integer, and therefore 137 078 is not a square number.
The square of a number (here 137 078) is the result of the product of this number (137 078) by itself (i.e., 137 078 × 137 078); the square of 137 078 is sometimes called "raising 137 078 to the power 2", or "137 078 squared".
The square of 137 078 is 18 790 378 084 because 137 078 × 137 078 = 137 0782 = 18 790 378 084.
As a consequence, 137 078 is the square root of 18 790 378 084.
The multiples of 137 078 are all integers evenly divisible by 137 078, that is all numbers such that the remainder of the division by 137 078 is zero. There are infinitely many multiples of 137 078. The smallest multiples of 137 078 are: