| Base | Representation |
|---|---|
| bin | 1111111010111… |
| … | …00001100000000 |
| 3 | 100022021212201000 |
| 4 | 13331130030000 |
| 5 | 233141444002 |
| 6 | 21130212000 |
| 7 | 3211062063 |
| oct | 775341400 |
| 9 | 308255630 |
| 10 | 133546752 |
| 11 | 69424719 |
| 12 | 38884000 |
| 13 | 2188ac61 |
| 14 | 13a448da |
| 15 | bace61c |
| hex | 7f5c300 |
133546752 has 108 divisors (see below), whose sum is σ = 397782840. Its totient is φ = 44195328.
The previous prime is 133546739. The next prime is 133546759. The reversal of 133546752 is 257645331.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (75600) is a multiple of the sum of its prime divisors (144).
It is not an unprimeable number, because it can be changed into a prime (133546759) 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 11 ways as a sum of consecutive naturals, for example, 960699 + ... + 960837.
Almost surely, 2133546752 is an apocalyptic number.
133546752 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 133546752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198891420).
133546752 is an abundant number, since it is smaller than the sum of its proper divisors (264236088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133546752 is an frugal number, since it uses more digits than its factorization.
133546752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303 (or 144 counting only the distinct ones).
The product of its digits is 75600, while the sum is 36.
The square root of 133546752 is about 11556.2429880995. The cubic root of 133546752 is about 511.1453841892.
The spelling of 133546752 in words is "one hundred thirty-three million, five hundred forty-six thousand, seven hundred fifty-two".
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