| Base | Representation |
|---|---|
| bin | 1111110001100… |
| … | …00101010100100 |
| 3 | 100012222112210100 |
| 4 | 13320300222210 |
| 5 | 232333214113 |
| 6 | 21044024100 |
| 7 | 3164462220 |
| oct | 770605244 |
| 9 | 305875710 |
| 10 | 132319908 |
| 11 | 687669a6 |
| 12 | 38392030 |
| 13 | 2154b706 |
| 14 | 13805780 |
| 15 | b93ad73 |
| hex | 7e30aa4 |
132319908 has 144 divisors (see below), whose sum is σ = 411675264. Its totient is φ = 34974720.
The previous prime is 132319907. The next prime is 132319909. The reversal of 132319908 is 809913231.
132319908 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (132319907) and next prime (132319909).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (132319907) 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 47 ways as a sum of consecutive naturals, for example, 286798 + ... + 287258.
It is an arithmetic number, because the mean of its divisors is an integer number (2858856).
Almost surely, 2132319908 is an apocalyptic number.
132319908 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 132319908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837632).
132319908 is an abundant number, since it is smaller than the sum of its proper divisors (279355356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132319908 is a wasteful number, since it uses less digits than its factorization.
132319908 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 562 (or 557 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The square root of 132319908 is about 11503.0390766962. The cubic root of 132319908 is about 509.5753327604.
The spelling of 132319908 in words is "one hundred thirty-two million, three hundred nineteen thousand, nine hundred eight".
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