| Base | Representation |
|---|---|
| bin | 111111001011000110… |
| … | …1000000011100000000 |
| 3 | 110222011122201011002200 |
| 4 | 1332112031000130000 |
| 5 | 4210314434300430 |
| 6 | 142153445513200 |
| 7 | 12541610534310 |
| oct | 1762615003400 |
| 9 | 428148634080 |
| 10 | 135663978240 |
| 11 | 5259786288a |
| 12 | 22361712800 |
| 13 | ca4046c94b |
| 14 | 67cd809440 |
| 15 | 37e0224460 |
| hex | 1f96340700 |
135663978240 has 432 divisors, whose sum is σ = 537532003008. Its totient is φ = 30945705984.
The previous prime is 135663978167. The next prime is 135663978347. The reversal of 135663978240 is 42879366531.
135663978240 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 6 + 397 + 8 + 240 = 666.
135663978240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47818102 + ... + 47820938.
It is an arithmetic number, because the mean of its divisors is an integer number (1244287044).
It is a 2-persistent number, because it is pandigital, and so is 2⋅135663978240 = 271327956480, but 3⋅135663978240 = 406991934720 is not.
Almost surely, 2135663978240 is an apocalyptic number.
135663978240 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 135663978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268766001504).
135663978240 is an abundant number, since it is smaller than the sum of its proper divisors (401868024768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135663978240 is a wasteful number, since it uses less digits than its factorization.
135663978240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3464 (or 3447 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 135663978240 in words is "one hundred thirty-five billion, six hundred sixty-three million, nine hundred seventy-eight thousand, two hundred forty".
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