It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 739 is not a prime number.
For example, 137 739 can be divided by 3: 137 739 / 3 = 45 913.
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For 137 739 to be a prime number, it would have been required that 137 739 has only two divisors, i.e., itself and 1.
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137 739 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 137 739 is about 371.132.
Thus, the square root of 137 739 is not an integer, and therefore 137 739 is not a square number.
The square of a number (here 137 739) is the result of the product of this number (137 739) by itself (i.e., 137 739 × 137 739); the square of 137 739 is sometimes called "raising 137 739 to the power 2", or "137 739 squared".
The square of 137 739 is 18 972 032 121 because 137 739 × 137 739 = 137 7392 = 18 972 032 121.
As a consequence, 137 739 is the square root of 18 972 032 121.
The multiples of 137 739 are all integers evenly divisible by 137 739, that is all numbers such that the remainder of the division by 137 739 is zero. There are infinitely many multiples of 137 739. The smallest multiples of 137 739 are: