Is 138007 a prime number?

138 007 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 138 007 is about 371.493.

Thus, the square root of 138 007 is not an integer, and therefore 138 007 is not a square number.

Anyway, 138 007 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 138 007) is the result of the product of this number (138 007) by itself (i.e., 138 007 × 138 007); the square of 138 007 is sometimes called "raising 138 007 to the power 2", or "138 007 squared".

The square of 138 007 is 19 045 932 049 because 138 007 × 138 007 = 138 007² = 19 045 932 049.

As a consequence, 138 007 is the square root of 19 045 932 049.

138 007 is a number with 6 digits.

The multiples of 138 007 are all integers evenly divisible by 138 007, that is all numbers such that the remainder of the division by 138 007 is zero. There are infinitely many multiples of 138 007. The smallest multiples of 138 007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 138 007 too, since 0 × 138 007 = 0
• 138 007: indeed, 138 007 is a multiple of itself, since 138 007 is evenly divisible by 138 007 (we have 138 007 / 138 007 = 1, so the remainder of this division is indeed zero)
• 276 014: indeed, 276 014 = 138 007 × 2
• 414 021: indeed, 414 021 = 138 007 × 3
• 552 028: indeed, 552 028 = 138 007 × 4
• 690 035: indeed, 690 035 = 138 007 × 5
• etc.

• Preceding numbers: …138 005, 138 006
• Following numbers: 138 008, 138 009…

Nearest numbers from 138 007

• Preceding prime number: 137 999
• Following prime number: 138 041

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• 138 007 est-il un nombre premier ?