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135225300 = 22352729199
BaseRepresentation
bin10000000111101…
…01111111010100
3100102110011020110
420003311333110
5234104202200
621230203020
73231252600
oct1003657724
9312404213
10135225300
116a370851
1239353470
1322027c92
1413d60500
15bd11b50
hex80f5fd4

135225300 has 108 divisors (see below), whose sum is σ = 455179200. Its totient is φ = 30905280.

The previous prime is 135225287. The next prime is 135225319. The reversal of 135225300 is 3522531.

135225300 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10101 + ... + 19299.

Almost surely, 2135225300 is an apocalyptic number.

135225300 is a gapful number since it is divisible by the number (10) 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 135225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227589600).

135225300 is an abundant number, since it is smaller than the sum of its proper divisors (319953900).

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

135225300 is a wasteful number, since it uses less digits than its factorization.

135225300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 135225300 is about 11628.6413651811. The cubic root of 135225300 is about 513.2780013822.

Adding to 135225300 its reverse (3522531), we get a palindrome (138747831).

The spelling of 135225300 in words is "one hundred thirty-five million, two hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 9199 14700 18398 27597 36796 45995 55194 64393 91990 110388 128786 137985 183980 193179 229975 257572 275970 321965 386358 450751 459950 551940 643930 689925 772716 901502 919900 965895 1287860 1352253 1379850 1609825 1803004 1931790 2253755 2704506 2759700 3219650 3863580 4507510 4829475 5409012 6439300 6761265 9015020 9658950 11268775 13522530 19317900 22537550 27045060 33806325 45075100 67612650 135225300