| Base | Representation |
|---|---|
| bin | 111111000111000011… |
| … | …1011111010010111000 |
| 3 | 110221211012102200210200 |
| 4 | 1332032013133102320 |
| 5 | 4210030222022130 |
| 6 | 142132202042200 |
| 7 | 12535342443000 |
| oct | 1761607372270 |
| 9 | 427735380720 |
| 10 | 135528314040 |
| 11 | 52528222309 |
| 12 | 223241a9360 |
| 13 | ca1b31cc82 |
| 14 | 67b97b3000 |
| 15 | 37d3377760 |
| hex | 1f8e1df4b8 |
135528314040 has 768 divisors, whose sum is σ = 550143360000. Its totient is φ = 28835896320.
The previous prime is 135528314027. The next prime is 135528314063. The reversal of 135528314040 is 40413825531.
135528314040 is a `hidden beast` number, since 13 + 552 + 83 + 14 + 0 + 4 + 0 = 666.
135528314040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1355283140402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 135528313986 and 135528314004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143112847 + ... + 143113793.
It is an arithmetic number, because the mean of its divisors is an integer number (716332500).
Almost surely, 2135528314040 is an apocalyptic number.
135528314040 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 135528314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275071680000).
135528314040 is an abundant number, since it is smaller than the sum of its proper divisors (414615045960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135528314040 is a wasteful number, since it uses less digits than its factorization.
135528314040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1065 (or 1044 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The spelling of 135528314040 in words is "one hundred thirty-five billion, five hundred twenty-eight million, three hundred fourteen thousand, forty".
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