Search a number
-
+
135216120 = 23351386677
BaseRepresentation
bin10000000111100…
…11101111111000
3100102102200122110
420003303233320
5234103403440
621230052320
73231214044
oct1003635770
9312380573
10135216120
116a364966
123934a0a0
1322023a50
1413d5b024
15bd0e080
hex80f3bf8

135216120 has 64 divisors (see below), whose sum is σ = 436857120. Its totient is φ = 33283584.

The previous prime is 135216083. The next prime is 135216127. The reversal of 135216120 is 21612531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135216127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41779 + ... + 44898.

Almost surely, 2135216120 is an apocalyptic number.

135216120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135216120 is an abundant number, since it is smaller than the sum of its proper divisors (301641000).

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

135216120 is a wasteful number, since it uses less digits than its factorization.

135216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86704 (or 86700 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 135216120 is about 11628.2466434110. The cubic root of 135216120 is about 513.2663862020.

Adding to 135216120 its reverse (21612531), we get a palindrome (156828651).

The spelling of 135216120 in words is "one hundred thirty-five million, two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 86677 173354 260031 346708 433385 520062 693416 866770 1040124 1126801 1300155 1733540 2080248 2253602 2600310 3380403 3467080 4507204 5200620 5634005 6760806 9014408 10401240 11268010 13521612 16902015 22536020 27043224 33804030 45072040 67608060 135216120