| Base | Representation |
|---|---|
| bin | 111110001101110101… |
| … | …0101100111100000000 |
| 3 | 110202212101100000200000 |
| 4 | 1330123222230330000 |
| 5 | 4142112142240440 |
| 6 | 141213450400000 |
| 7 | 12436635444123 |
| oct | 1743352547400 |
| 9 | 422771300600 |
| 10 | 133608165120 |
| 11 | 51732364a81 |
| 12 | 21a89130000 |
| 13 | c7a3583291 |
| 14 | 66767823ba |
| 15 | 371e9d9730 |
| hex | 1f1baacf00 |
133608165120 has 432 divisors, whose sum is σ = 484251741792. Its totient is φ = 35267788800.
The previous prime is 133608165073. The next prime is 133608165121. The reversal of 133608165120 is 21561806331.
133608165120 is a `hidden beast` number, since 1 + 3 + 3 + 60 + 81 + 6 + 512 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×1336081651202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133608165121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31412914 + ... + 31417166.
It is an arithmetic number, because the mean of its divisors is an integer number (1120953106).
Almost surely, 2133608165120 is an apocalyptic number.
133608165120 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 133608165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242125870896).
133608165120 is an abundant number, since it is smaller than the sum of its proper divisors (350643576672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133608165120 is an equidigital number, since it uses as much as digits as its factorization.
133608165120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4390 (or 4364 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The spelling of 133608165120 in words is "one hundred thirty-three billion, six hundred eight million, one hundred sixty-five thousand, one hundred twenty".
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