137

Names of 137

• Cardinal: 137 can be written as One hundred thirty-seven.

Scientific notation

• Scientific notation: 1.37 × 10²

Factors of 137

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 137

Divisors of 137

• Number of divisors d(n): 2
• Complete list of divisors:
  1 137
• Sum of all divisors σ(n): 138
• Sum of proper divisors (its aliquot sum) s(n): 1
• 137 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 136

Bases of 137

• Binary: 10001001₂
• Hexadecimal: 0x89
• Base-36: 3T

Squares and roots of 137

• 137 squared (137²) is 18769
• 137 cubed (137³) is 2571353
• The square root of 137 is 11.7046999107
• The cube root of 137 is 5.1551367355

Scales and comparisons

• 137 seconds is equal to 2 minutes, 17 seconds.
• To count from 1 to 137 would take you about eight seconds.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137 cubic inches would be around 0.4 feet tall.

Recreational maths with 137

• 137 backwards is 731
• 137 is a twin prime! Its twin is 139
• The number of decimal digits it has is: 3
• The sum of 137's digits is 11
• More coming soon!