| Base | Representation |
|---|---|
| bin | 111101100001010011… |
| … | …1000010011011100000 |
| 3 | 110122000020212012211100 |
| 4 | 1323002213002123200 |
| 5 | 4131032143013402 |
| 6 | 140405314114400 |
| 7 | 12354623513661 |
| oct | 1730247023340 |
| 9 | 418006765740 |
| 10 | 132114032352 |
| 11 | 51035a21a05 |
| 12 | 2173087ba00 |
| 13 | c5c5b66753 |
| 14 | 6574169368 |
| 15 | 368374d71c |
| hex | 1ec29c26e0 |
132114032352 has 144 divisors (see below), whose sum is σ = 398134835280. Its totient is φ = 41482291200.
The previous prime is 132114032341. The next prime is 132114032363. The reversal of 132114032352 is 253230411231.
132114032352 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 403 + 235 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (132114032341) and next prime (132114032363).
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149527 + ... + 535337.
It is an arithmetic number, because the mean of its divisors is an integer number (2764825245).
Almost surely, 2132114032352 is an apocalyptic number.
132114032352 is a gapful number since it is divisible by the number (12) 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 132114032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199067417640).
132114032352 is an abundant number, since it is smaller than the sum of its proper divisors (266020802928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132114032352 is a wasteful number, since it uses less digits than its factorization.
132114032352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 385897 (or 385886 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
Adding to 132114032352 its reverse (253230411231), we get a palindrome (385344443583).
The spelling of 132114032352 in words is "one hundred thirty-two billion, one hundred fourteen million, thirty-two thousand, three hundred fifty-two".
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