| Base | Representation |
|---|---|
| bin | 10000000110110… |
| … | …11000101110000 |
| 3 | 100102020120002201 |
| 4 | 20003123011300 |
| 5 | 234042140440 |
| 6 | 21223552544 |
| 7 | 3230313430 |
| oct | 1003330560 |
| 9 | 312216081 |
| 10 | 135115120 |
| 11 | 6a2a5a98 |
| 12 | 392bb754 |
| 13 | 21cb9a9a |
| 14 | 13d322c0 |
| 15 | bcde19a |
| hex | 80db170 |
135115120 has 80 divisors (see below), whose sum is σ = 368779968. Its totient is φ = 45066240.
The previous prime is 135115111. The next prime is 135115121. The reversal of 135115120 is 21511531.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1351151202 = 36512191305228800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135115121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17460 + ... + 23980.
Almost surely, 2135115120 is an apocalyptic number.
135115120 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 135115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184389984).
135115120 is an abundant number, since it is smaller than the sum of its proper divisors (233664848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135115120 is a wasteful number, since it uses less digits than its factorization.
135115120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6578 (or 6572 counting only the distinct ones).
The product of its (nonzero) digits is 150, while the sum is 19.
The square root of 135115120 is about 11623.9029589893. The cubic root of 135115120 is about 513.1385591903.
Adding to 135115120 its reverse (21511531), we get a palindrome (156626651).
It can be divided in two parts, 1351 and 15120, that added together give a triangular number (16471 = T181).
The spelling of 135115120 in words is "one hundred thirty-five million, one hundred fifteen thousand, one hundred twenty".
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