| Base | Representation |
|---|---|
| bin | 1111110000000… |
| … | …11000101010000 |
| 3 | 100012122001200020 |
| 4 | 13320003011100 |
| 5 | 232311230300 |
| 6 | 21040023440 |
| 7 | 3163053663 |
| oct | 770030520 |
| 9 | 305561606 |
| 10 | 132133200 |
| 11 | 686496a1 |
| 12 | 38301b80 |
| 13 | 214b4734 |
| 14 | 137976da |
| 15 | b9008a0 |
| hex | 7e03150 |
132133200 has 120 divisors (see below), whose sum is σ = 426684000. Its totient is φ = 34951680.
The previous prime is 132133189. The next prime is 132133207. The reversal of 132133200 is 2331231.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 132133200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132133207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178431 + ... + 179169.
It is an arithmetic number, because the mean of its divisors is an integer number (3555700).
Almost surely, 2132133200 is an apocalyptic number.
132133200 is a gapful number since it is divisible by the number (10) 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 132133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213342000).
132133200 is an abundant number, since it is smaller than the sum of its proper divisors (294550800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132133200 is a wasteful number, since it uses less digits than its factorization.
132133200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 909 (or 898 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 132133200 is about 11494.9206173858. The cubic root of 132133200 is about 509.3355437590.
Adding to 132133200 its reverse (2331231), we get a palindrome (134464431).
The spelling of 132133200 in words is "one hundred thirty-two million, one hundred thirty-three thousand, two hundred".
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