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135256 = 23112953
BaseRepresentation
bin100001000001011000
320212112111
4201001120
513312011
62522104
71102222
oct410130
9225474
10135256
1192690
1266334
1349744
1437412
152a121
hex21058

135256 has 32 divisors (see below), whose sum is σ = 291600. Its totient is φ = 58240.

The previous prime is 135241. The next prime is 135257. The reversal of 135256 is 652531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526 + ... + 2578.

2135256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145800).

135256 is an abundant number, since it is smaller than the sum of its proper divisors (156344).

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

135256 is a wasteful number, since it uses less digits than its factorization.

135256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 135256 is about 367.7716682943. The cubic root of 135256 is about 51.3316841358.

Adding to 135256 its reverse (652531), we get a palindrome (787787).

It can be divided in two parts, 13525 and 6, that added together give a palindrome (13531).

The spelling of 135256 in words is "one hundred thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 29 44 53 58 88 106 116 212 232 319 424 583 638 1166 1276 1537 2332 2552 3074 4664 6148 12296 16907 33814 67628 135256