| Base | Representation |
|---|---|
| bin | 111101110101010100… |
| … | …1101010101000000000 |
| 3 | 110200202001221001102000 |
| 4 | 1323222221222220000 |
| 5 | 4133421131404140 |
| 6 | 141000112424000 |
| 7 | 12410361522111 |
| oct | 1735251525000 |
| 9 | 420661831360 |
| 10 | 132785809920 |
| 11 | 51350145385 |
| 12 | 21899848000 |
| 13 | c6a20a3c7a |
| 14 | 65d9478208 |
| 15 | 36c26e8a30 |
| hex | 1eeaa6aa00 |
132785809920 has 640 divisors, whose sum is σ = 488639796480. Its totient is φ = 34159656960.
The previous prime is 132785809861. The next prime is 132785809927. The reversal of 132785809920 is 29908587231.
132785809920 is a `hidden beast` number, since 1 + 32 + 7 + 8 + 580 + 9 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1327858099202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (132785809927) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 245444850 + ... + 245445390.
It is an arithmetic number, because the mean of its divisors is an integer number (763499682).
Almost surely, 2132785809920 is an apocalyptic number.
132785809920 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 132785809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244319898240).
132785809920 is an abundant number, since it is smaller than the sum of its proper divisors (355853986560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132785809920 is an equidigital number, since it uses as much as digits as its factorization.
132785809920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 693 (or 671 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 54.
The spelling of 132785809920 in words is "one hundred thirty-two billion, seven hundred eighty-five million, eight hundred nine thousand, nine hundred twenty".
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