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135240300 = 223352133853
BaseRepresentation
bin10000000111110…
…01101001101100
3100102110220211000
420003321221230
5234110142200
621230400300
73231344406
oct1003715154
9312426730
10135240300
116a381048
1239360090
1322031a60
1413d65b76
15bd16300
hex80f9a6c

135240300 has 144 divisors (see below), whose sum is σ = 468338080. Its totient is φ = 33281280.

The previous prime is 135240293. The next prime is 135240317. The reversal of 135240300 is 3042531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33174 + ... + 37026.

Almost surely, 2135240300 is an apocalyptic number.

135240300 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 135240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234169040).

135240300 is an abundant number, since it is smaller than the sum of its proper divisors (333097780).

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

135240300 is a wasteful number, since it uses less digits than its factorization.

135240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135240300 is about 11629.2863065624. The cubic root of 135240300 is about 513.2969793036.

Adding to 135240300 its reverse (3042531), we get a palindrome (138282831).

The spelling of 135240300 in words is "one hundred thirty-five million, two hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3853 3900 5850 7020 7706 8775 11559 11700 15412 17550 19265 23118 34677 35100 38530 46236 50089 57795 69354 77060 96325 100178 104031 115590 138708 150267 173385 192650 200356 208062 231180 250445 288975 300534 346770 385300 416124 450801 500890 520155 577950 601068 693540 751335 866925 901602 1001780 1040310 1155900 1252225 1352403 1502670 1733850 1803204 2080620 2254005 2504450 2600775 2704806 3005340 3467700 3756675 4508010 5008900 5201550 5409612 6762015 7513350 9016020 10403100 11270025 13524030 15026700 22540050 27048060 33810075 45080100 67620150 135240300