| Base | Representation |
|---|---|
| bin | 1111110000001… |
| … | …01100001100000 |
| 3 | 100012122120101121 |
| 4 | 13320011201200 |
| 5 | 232312040300 |
| 6 | 21040142024 |
| 7 | 3163125100 |
| oct | 770054140 |
| 9 | 305576347 |
| 10 | 132143200 |
| 11 | 68656162 |
| 12 | 38307914 |
| 13 | 214b9157 |
| 14 | 1379b200 |
| 15 | b90381a |
| hex | 7e05860 |
132143200 has 108 divisors (see below), whose sum is σ = 375374412. Its totient is φ = 45292800.
The previous prime is 132143189. The next prime is 132143201. The reversal of 132143200 is 2341231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132143201) 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 17 ways as a sum of consecutive naturals, for example, 37515 + ... + 40885.
It is an arithmetic number, because the mean of its divisors is an integer number (3475689).
Almost surely, 2132143200 is an apocalyptic number.
132143200 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 132143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187687206).
132143200 is an abundant number, since it is smaller than the sum of its proper divisors (243231212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132143200 is a wasteful number, since it uses less digits than its factorization.
132143200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3405 (or 3385 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 132143200 is about 11495.3555838869. The cubic root of 132143200 is about 509.3483924777.
Adding to 132143200 its reverse (2341231), we get a palindrome (134484431).
It can be divided in two parts, 1321 and 43200, that added together give a square (44521 = 2112).
The spelling of 132143200 in words is "one hundred thirty-two million, one hundred forty-three thousand, two hundred".
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