| Base | Representation |
|---|---|
| bin | 1111110111101… |
| … | …01010100100000 |
| 3 | 100021111110201200 |
| 4 | 13323311110200 |
| 5 | 233040003113 |
| 6 | 21113201200 |
| 7 | 3204355503 |
| oct | 773652440 |
| 9 | 307443650 |
| 10 | 133125408 |
| 11 | 691670a9 |
| 12 | 38700200 |
| 13 | 21771240 |
| 14 | 1397513a |
| 15 | ba49873 |
| hex | 7ef5520 |
133125408 has 216 divisors, whose sum is σ = 432658044. Its totient is φ = 38568960.
The previous prime is 133125407. The next prime is 133125409. The reversal of 133125408 is 804521331.
It is a happy number.
133125408 is a `hidden beast` number, since 133 + 125 + 408 = 666.
It is an interprime number because it is at equal distance from previous prime (133125407) and next prime (133125409).
It can be written as a sum of positive squares in 2 ways, for example, as 132987024 + 138384 = 11532^2 + 372^2 .
It is not an unprimeable number, because it can be changed into a prime (133125407) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3597966 + ... + 3598002.
Almost surely, 2133125408 is an apocalyptic number.
133125408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216329022).
133125408 is an abundant number, since it is smaller than the sum of its proper divisors (299532636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133125408 is a wasteful number, since it uses less digits than its factorization.
133125408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 133125408 is about 11537.9984399375. The cubic root of 133125408 is about 510.6072581948.
Adding to 133125408 its reverse (804521331), we get a palindrome (937646739).
It can be divided in two parts, 13312 and 5408, that multiplied together give a cube (71991296 = 4163).
The spelling of 133125408 in words is "one hundred thirty-three million, one hundred twenty-five thousand, four hundred eight".
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