| Base | Representation |
|---|---|
| bin | 1111110101010… |
| … | …11001101100000 |
| 3 | 100020221001100000 |
| 4 | 13322223031200 |
| 5 | 233000244411 |
| 6 | 21102500000 |
| 7 | 3201652506 |
| oct | 772531540 |
| 9 | 306831300 |
| 10 | 132821856 |
| 11 | 68a7a032 |
| 12 | 38594600 |
| 13 | 2169601b |
| 14 | 138d6676 |
| 15 | b9d9956 |
| hex | 7eab360 |
132821856 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 39191040.
The previous prime is 132821851. The next prime is 132821861. The reversal of 132821856 is 658128231.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (132821851) and next prime (132821861).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 132821856.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132821851) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4284561 + ... + 4284591.
It is an arithmetic number, because the mean of its divisors is an integer number (1528800).
Almost surely, 2132821856 is an apocalyptic number.
132821856 is a gapful number since it is divisible by the number (16) 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 132821856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).
132821856 is an abundant number, since it is smaller than the sum of its proper divisors (307472544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132821856 is a wasteful number, since it uses less digits than its factorization.
132821856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104 (or 84 counting only the distinct ones).
The product of its digits is 23040, while the sum is 36.
The square root of 132821856 is about 11524.8364847402. The cubic root of 132821856 is about 510.2188679964.
The spelling of 132821856 in words is "one hundred thirty-two million, eight hundred twenty-one thousand, eight hundred fifty-six".
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