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135345210 = 235711134507
BaseRepresentation
bin10000001000100…
…11010000111010
3100102200020201120
420010103100322
5234122021320
621232530110
73232262310
oct1004232072
9312606646
10135345210
116a442950
12393b0936
132206a730
1413d920b0
15bd37440
hex811343a

135345210 has 128 divisors (see below), whose sum is σ = 436230144. Its totient is φ = 25954560.

The previous prime is 135345187. The next prime is 135345277. The reversal of 135345210 is 12543531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27777 + ... + 32283.

It is an arithmetic number, because the mean of its divisors is an integer number (3408048).

Almost surely, 2135345210 is an apocalyptic number.

135345210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135345210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218115072).

135345210 is an abundant number, since it is smaller than the sum of its proper divisors (300884934).

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

135345210 is a wasteful number, since it uses less digits than its factorization.

135345210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135345210 is about 11633.7960270928. The cubic root of 135345210 is about 513.4296716735.

Adding to 135345210 its reverse (12543531), we get a palindrome (147888741).

The spelling of 135345210 in words is "one hundred thirty-five million, three hundred forty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 4507 5005 6006 9014 10010 13521 15015 22535 27042 30030 31549 45070 49577 58591 63098 67605 94647 99154 117182 135210 148731 157745 175773 189294 247885 292955 297462 315490 347039 351546 410137 473235 495770 585910 644501 694078 743655 820274 878865 946470 1041117 1230411 1289002 1487310 1735195 1757730 1933503 2050685 2082234 2460822 3222505 3470390 3867006 4101370 4511507 5205585 6152055 6445010 9023014 9667515 10411170 12304110 13534521 19335030 22557535 27069042 45115070 67672605 135345210