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135184 = 2471771
BaseRepresentation
bin100001000000010000
320212102211
4201000100
513311214
62521504
71102060
oct410020
9225384
10135184
1192625
1266294
13496ba
14373a0
152a0c4
hex21010

135184 has 40 divisors (see below), whose sum is σ = 321408. Its totient is φ = 53760.

The previous prime is 135181. The next prime is 135193. The reversal of 135184 is 481531.

135184 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (135181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1869 + ... + 1939.

2135184 is an apocalyptic number.

135184 is a gapful number since it is divisible by the number (14) 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 135184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

135184 is an abundant number, since it is smaller than the sum of its proper divisors (186224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135184 is a wasteful number, since it uses less digits than its factorization.

135184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 135184 is about 367.6737684415. The cubic root of 135184 is about 51.3225741586.

The spelling of 135184 in words is "one hundred thirty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 112 119 136 142 238 272 284 476 497 568 952 994 1136 1207 1904 1988 2414 3976 4828 7952 8449 9656 16898 19312 33796 67592 135184