| Base | Representation |
|---|---|
| bin | 1111111010101… |
| … | …00100110000000 |
| 3 | 100022020022001000 |
| 4 | 13331110212000 |
| 5 | 233140000043 |
| 6 | 21125412000 |
| 7 | 3210602310 |
| oct | 775244600 |
| 9 | 308208030 |
| 10 | 133515648 |
| 11 | 69403312 |
| 12 | 3886a000 |
| 13 | 21879a56 |
| 14 | 13a37440 |
| 15 | bac52d3 |
| hex | 7f54980 |
133515648 has 128 divisors (see below), whose sum is σ = 450432000. Its totient is φ = 38140416.
The previous prime is 133515601. The next prime is 133515649. The reversal of 133515648 is 846515331.
133515648 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 1 + 5 + 648 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×1335156483 (a number of 25 digits) contains 333 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 (133515649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21433 + ... + 26951.
It is an arithmetic number, because the mean of its divisors is an integer number (3519000).
Almost surely, 2133515648 is an apocalyptic number.
133515648 is a gapful number since it is divisible by the number (18) 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 133515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225216000).
133515648 is an abundant number, since it is smaller than the sum of its proper divisors (316916352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133515648 is an equidigital number, since it uses as much as digits as its factorization.
133515648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5549 (or 5531 counting only the distinct ones).
The product of its digits is 43200, while the sum is 36.
The square root of 133515648 is about 11554.8971436357. The cubic root of 133515648 is about 511.1056979613.
The spelling of 133515648 in words is "one hundred thirty-three million, five hundred fifteen thousand, six hundred forty-eight".
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