### About the Number 125 (one hundred twenty-five)

MathBabbler posted a nBAB for the number 123 and he noticed he had nBABs for 121, 123, and 127; therefore, he decided to create this nBAB for the number `125`. In addition, nBABs existed for the following numbers that end in the digit 5 (5, 15, 25, 35, 45, 55, 65, 75, 85, 95, 105, 115). Now the number `125` can be added to this sequence.

```   MathBabbler Number Analyst (MBNA) output:
=========================================
125 is a natural, whole, integer
125 is odd
125 proper divisors are: 1,5,25,
125 is deficient (sum of divisors is 31)
125 is unhappy
125 is not a Harshad number
125 is not prime
125 has the prime factors: 5*5*5
125 in octal is 0175
125 in hexadecimal is 0x7d
125 in binary is 1111101 (is evil)
125 nearest square numbers: -4...19 (121...144 )
sqrt(125) = 11.1803
ln(125) = 4.82831
log(125) = 2.09691
125 is 5^3
125 reciprocal is .00800000000000000000000000000000
125! is 1.88268e+209
125 is 39.7887 Pi years
125 is 6 score and 5 years
125 written as a Roman numeral is CXXV
```

`125` is a cuban number.

`125` equals 10^2 + 5^2 and it equals 11^2 + 4^2.

`[Wikipedia]` `125` is a Ruth-Aaron pair with 126. On 31 March 2009, the MBNA was not checking for Ruth-Aaron pairs.

`[Wikipedia]` `125` is a Friedman number because it is the "result of an expression using all its own digits in combination with any of the four basic arithmetic operators and sometimes exponentiation."

```   125 = 5^(1 + 2)

25 is a Friedman number... digits are 2, 5:  5^2 = 25
121 is a Friedman number... digits are 1, 2, 1:  11^2 = 121
128 is a Friedman number... digits are 1, 2, 8:  2^(8 - 1) = 128
```

OEIS.org::id:A036057

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 31 March 2009 