It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 529 is not a prime number.
For example, 137 529 can be divided by 3: 137 529 / 3 = 45 843.
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For 137 529 to be a prime number, it would have been required that 137 529 has only two divisors, i.e., itself and 1.
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137 529 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 137 529 is about 370.849.
Thus, the square root of 137 529 is not an integer, and therefore 137 529 is not a square number.
The square of a number (here 137 529) is the result of the product of this number (137 529) by itself (i.e., 137 529 × 137 529); the square of 137 529 is sometimes called "raising 137 529 to the power 2", or "137 529 squared".
The square of 137 529 is 18 914 225 841 because 137 529 × 137 529 = 137 5292 = 18 914 225 841.
As a consequence, 137 529 is the square root of 18 914 225 841.
The multiples of 137 529 are all integers evenly divisible by 137 529, that is all numbers such that the remainder of the division by 137 529 is zero. There are infinitely many multiples of 137 529. The smallest multiples of 137 529 are: