| Base | Representation |
|---|---|
| bin | 10000001010100… |
| … | …00110000010000 |
| 3 | 100110011001012210 |
| 4 | 20011100300100 |
| 5 | 234203101242 |
| 6 | 21242152120 |
| 7 | 3234361512 |
| oct | 1005206020 |
| 9 | 313131183 |
| 10 | 135597072 |
| 11 | 6a5a50a6 |
| 12 | 394b2640 |
| 13 | 22128270 |
| 14 | 14019bb2 |
| 15 | bd86d9c |
| hex | 8150c10 |
135597072 has 80 divisors (see below), whose sum is σ = 397127360. Its totient is φ = 39522816.
The previous prime is 135597071. The next prime is 135597073. The reversal of 135597072 is 270795531.
It is an interprime number because it is at equal distance from previous prime (135597071) and next prime (135597073).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 135597072.
It is not an unprimeable number, because it can be changed into a prime (135597071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6138 + ... + 17574.
It is an arithmetic number, because the mean of its divisors is an integer number (4964092).
Almost surely, 2135597072 is an apocalyptic number.
135597072 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 135597072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198563680).
135597072 is an abundant number, since it is smaller than the sum of its proper divisors (261530288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135597072 is a wasteful number, since it uses less digits than its factorization.
135597072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11480 (or 11474 counting only the distinct ones).
The product of its (nonzero) digits is 66150, while the sum is 39.
The square root of 135597072 is about 11644.6155797433. The cubic root of 135597072 is about 513.7479523483.
The spelling of 135597072 in words is "one hundred thirty-five million, five hundred ninety-seven thousand, seventy-two".
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