Base | Representation |
---|---|
bin | 111110111011010111… |
… | …1000010011000000000 |
3 | 110220210212021111202000 |
4 | 1331312233002120000 |
5 | 4203224310400120 |
6 | 142025230024000 |
7 | 12522540200250 |
oct | 1756657023000 |
9 | 426725244660 |
10 | 135136028160 |
11 | 52346846101 |
12 | 22234948000 |
13 | c987c7c953 |
14 | 677d659960 |
15 | 37adbd9990 |
hex | 1f76bc2600 |
135136028160 has 640 divisors, whose sum is σ = 567563673600. Its totient is φ = 29820026880.
The previous prime is 135136028143. The next prime is 135136028179. The reversal of 135136028160 is 61820631531.
135136028160 is a `hidden beast` number, since 1 + 3 + 513 + 6 + 0 + 2 + 81 + 60 = 666.
135136028160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1351360281602 (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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14026545 + ... + 14036175.
It is an arithmetic number, because the mean of its divisors is an integer number (886818240).
Almost surely, 2135136028160 is an apocalyptic number.
135136028160 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 135136028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283781836800).
135136028160 is an abundant number, since it is smaller than the sum of its proper divisors (432427645440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135136028160 is an equidigital number, since it uses as much as digits as its factorization.
135136028160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9699 (or 9677 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
Adding to 135136028160 its reverse (61820631531), we get a palindrome (196956659691).
The spelling of 135136028160 in words is "one hundred thirty-five billion, one hundred thirty-six million, twenty-eight thousand, one hundred sixty".
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