About the Number 135 (one hundred thirty-five)

A program to check for sum-product numbers was added to the MBNA. There are only four sum-products: 0, 1, 135 and 144. nBABs existed for 0, 1, 144 and now there is a nBAB for 135.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   135 is a natural, whole, integer
   135 is odd
   135 proper divisors are: 1,3,5,9,15,27,45,
   135 is deficient (sum of divisors is 105)
   135 is unhappy
   135 is a Harshad number
   135 is not prime
   135 has the prime factors: 3*3*3*5 (sum=14)
   135 sum of prime factors is: 14
   135 is a lucky number
   135 is a sum-product number
   135 in octal is 0207
   135 in hexadecimal is 0x87
   135 in binary is 10000111 (is evil)
   135 nearest square numbers: -14...9 (121...144 [12])
   sqrt(135) = 11.619
   ln(135) = 4.90527
   log(135) = 2.13033
   135 reciprocal is .00740740740740740740740740740740
   135! is 2.69047e+230
   135 is 42.9718 Pi years
   135 is 6 score and 15 years
   135 written as a Roman numeral is CXXXV

[Wikipedia] 135 "equals the sum of consecutive powers of its digits. (175, 518, and 598 also have this property)."

   135 = 1^1 + 3^2 + 5^3

[Wikipedia] MathBabbler hasn't confirmed this, but the Wikipedia claims there are 135 prime numbers between 1000 and 2000.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 09 May 2009

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