Is 137501 a prime number?

137 501 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 137 501 is about 370.811.

Thus, the square root of 137 501 is not an integer, and therefore 137 501 is not a square number.

The square of a number (here 137 501) is the result of the product of this number (137 501) by itself (i.e., 137 501 × 137 501); the square of 137 501 is sometimes called "raising 137 501 to the power 2", or "137 501 squared".

The square of 137 501 is 18 906 525 001 because 137 501 × 137 501 = 137 501² = 18 906 525 001.

As a consequence, 137 501 is the square root of 18 906 525 001.

137 501 is a number with 6 digits.

The multiples of 137 501 are all integers evenly divisible by 137 501, that is all numbers such that the remainder of the division by 137 501 is zero. There are infinitely many multiples of 137 501. The smallest multiples of 137 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 137 501 too, since 0 × 137 501 = 0
• 137 501: indeed, 137 501 is a multiple of itself, since 137 501 is evenly divisible by 137 501 (we have 137 501 / 137 501 = 1, so the remainder of this division is indeed zero)
• 275 002: indeed, 275 002 = 137 501 × 2
• 412 503: indeed, 412 503 = 137 501 × 3
• 550 004: indeed, 550 004 = 137 501 × 4
• 687 505: indeed, 687 505 = 137 501 × 5
• etc.

• Preceding numbers: …137 499, 137 500
• Following numbers: 137 502, 137 503…

Nearest numbers from 137 501

• Preceding prime number: 137 491
• Following prime number: 137 507

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• 137 501 est-il un nombre premier ?