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138

Number 138: Properties, Factors, and Mathematical Facts

Short answer

The number 138 is an even composite number with 8 positive divisors. Its prime factorization is 2 × 3 × 23. It is also an abundant number, which gives it several notable mathematical relationships.

Is 138 prime?

ClassificationCompositeParityEvenDivisor count8AbundanceAbundant

What is the prime factorization of 138?

Prime factorization

138 =
2 times 3 times 23
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What are the divisors of 138?

Divisor count

8

Divisor sum

288

Proper divisor sum

150

How is 138 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 138 represented in other numeral systems?

Decimal

138

Binary

10001010
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Octal

212

Hexadecimal

Roman

In words

one hundred thirty eight

Roots and powers

Square root

11.747340 Approximate

Cube root

5.167649 Approximate

Nearest lower square

121

Nearest higher square

144

Nearest lower cube

125

Nearest higher cube

216

What are the digit properties of 138?

Digit count

3

Digit sum

Digit product

24

Digital root

3

Reversed number

831

Why these results are true

  • 138 is composite because it has positive divisors other than 1 and itself.
  • 138 is abundant because the sum of its proper divisors (150) is greater than 138.

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FAQ for 138

Is 138 prime?
No
What is the prime factorization of 138?
2 × 3 × 23
Is 138 a perfect square?
No
What is 138 in binary?
10001010
What is 138 in Roman numerals?
CXXXVIII

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