Search a number
-
+
134136 = 233623
BaseRepresentation
bin100000101111111000
320211000000
4200233320
513243021
62513000
71066032
oct405770
9224000
10134136
1191862
1265760
1349092
1436c52
1529b26
hex20bf8

134136 has 56 divisors (see below), whose sum is σ = 393480. Its totient is φ = 42768.

The previous prime is 134129. The next prime is 134153. The reversal of 134136 is 631431.

134136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

134136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5821 + ... + 5843.

2134136 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 134136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196740).

134136 is an abundant number, since it is smaller than the sum of its proper divisors (259344).

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

134136 is an equidigital number, since it uses as much as digits as its factorization.

134136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 134136 is about 366.2458190888. The cubic root of 134136 is about 51.1896056373.

Adding to 134136 its reverse (631431), we get a palindrome (765567).

The spelling of 134136 in words is "one hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 729 828 972 1242 1458 1656 1863 1944 2484 2916 3726 4968 5589 5832 7452 11178 14904 16767 22356 33534 44712 67068 134136