Is 137131 a prime number?

137 131 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

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 137 131 is about 370.312.

Thus, the square root of 137 131 is not an integer, and therefore 137 131 is not a square number.

Anyway, 137 131 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 137 131) is the result of the product of this number (137 131) by itself (i.e., 137 131 × 137 131); the square of 137 131 is sometimes called "raising 137 131 to the power 2", or "137 131 squared".

The square of 137 131 is 18 804 911 161 because 137 131 × 137 131 = 137 131² = 18 804 911 161.

As a consequence, 137 131 is the square root of 18 804 911 161.

137 131 is a number with 6 digits.

The multiples of 137 131 are all integers evenly divisible by 137 131, that is all numbers such that the remainder of the division by 137 131 is zero. There are infinitely many multiples of 137 131. The smallest multiples of 137 131 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 137 131 too, since 0 × 137 131 = 0
• 137 131: indeed, 137 131 is a multiple of itself, since 137 131 is evenly divisible by 137 131 (we have 137 131 / 137 131 = 1, so the remainder of this division is indeed zero)
• 274 262: indeed, 274 262 = 137 131 × 2
• 411 393: indeed, 411 393 = 137 131 × 3
• 548 524: indeed, 548 524 = 137 131 × 4
• 685 655: indeed, 685 655 = 137 131 × 5
• etc.

• Preceding numbers: …137 129, 137 130
• Following numbers: 137 132, 137 133…

Nearest numbers from 137 131

• Preceding prime number: 137 119
• Following prime number: 137 143

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• 137 131 est-il un nombre premier ?