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135342 = 23273103
BaseRepresentation
bin100001000010101110
320212122200
4201002232
513312332
62522330
71102404
oct410256
9225580
10135342
1192759
12663a6
13497ac
1437474
152a17c
hex210ae

135342 has 24 divisors (see below), whose sum is σ = 300144. Its totient is φ = 44064.

The previous prime is 135329. The next prime is 135347. The reversal of 135342 is 243531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1263 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (12506).

2135342 is an apocalyptic number.

135342 is an abundant number, since it is smaller than the sum of its proper divisors (164802).

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

135342 is a wasteful number, since it uses less digits than its factorization.

135342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 135342 is about 367.8885700861. Note that the first 3 decimals coincide. The cubic root of 135342 is about 51.3425612615.

Adding to 135342 its reverse (243531), we get a palindrome (378873).

The spelling of 135342 in words is "one hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 73 103 146 206 219 309 438 618 657 927 1314 1854 7519 15038 22557 45114 67671 135342