Search a number
-
+
135216108 = 22331737237
BaseRepresentation
bin10000000111100…
…11101111101100
3100102102200122000
420003303233230
5234103403413
621230052300
73231214026
oct1003635754
9312380560
10135216108
116a364955
123934a090
1322023a41
1413d5b016
15bd0e073
hex80f3bec

135216108 has 48 divisors (see below), whose sum is σ = 352635360. Its totient is φ = 44805312.

The previous prime is 135216083. The next prime is 135216127. The reversal of 135216108 is 801612531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15066 + ... + 22302.

It is an arithmetic number, because the mean of its divisors is an integer number (7346570).

Almost surely, 2135216108 is an apocalyptic number.

135216108 is a gapful number since it is divisible by the number (18) 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 135216108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176317680).

135216108 is an abundant number, since it is smaller than the sum of its proper divisors (217419252).

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

135216108 is a wasteful number, since it uses less digits than its factorization.

135216108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 135216108 is about 11628.2461274261. The cubic root of 135216108 is about 513.2663710184.

Adding to 135216108 its reverse (801612531), we get a palindrome (936828639).

The spelling of 135216108 in words is "one hundred thirty-five million, two hundred sixteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3114 4671 6228 7237 9342 14474 18684 21711 28948 43422 65133 86844 130266 195399 260532 390798 781596 1252001 2504002 3756003 5008004 7512006 11268009 15024012 22536018 33804027 45072036 67608054 135216108