Search a number
-
+
135102 = 23112389
BaseRepresentation
bin100000111110111110
320212022210
4200332332
513310402
62521250
71101612
oct407676
9225283
10135102
1192560
1266226
1349656
1437342
152a06c
hex20fbe

135102 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 38720.

The previous prime is 135101. The next prime is 135119. The reversal of 135102 is 201531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135101) 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, 1474 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2135102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

135102 is an abundant number, since it is smaller than the sum of its proper divisors (175938).

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

135102 is a wasteful number, since it uses less digits than its factorization.

135102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 135102 is about 367.5622396275. The cubic root of 135102 is about 51.3121949660.

Adding to 135102 its reverse (201531), we get a palindrome (336633).

It can be divided in two parts, 13 and 5102, that added together give a palindrome (5115).

The spelling of 135102 in words is "one hundred thirty-five thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 89 138 178 253 267 506 534 759 979 1518 1958 2047 2937 4094 5874 6141 12282 22517 45034 67551 135102