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135203145 = 357111961101
BaseRepresentation
bin10000000111100…
…00100101001001
3100102102000211220
420003300211021
5234103000040
621225512253
73231131160
oct1003604511
9312360756
10135203145
116a356140
1239342689
132201ab7c
1413d563d7
15bd0a2d0
hex80f0949

135203145 has 128 divisors (see below), whose sum is σ = 291409920. Its totient is φ = 51840000.

The previous prime is 135203141. The next prime is 135203149. The reversal of 135203145 is 541302531.

It is an interprime number because it is at equal distance from previous prime (135203141) and next prime (135203149).

It is not a de Polignac number, because 135203145 - 22 = 135203141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135203141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1338595 + ... + 1338695.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 2135203145 is an apocalyptic number.

135203145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135203145 is an abundant number, since it is smaller than the sum of its proper divisors (156206775).

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

135203145 is a wasteful number, since it uses less digits than its factorization.

135203145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

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

The square root of 135203145 is about 11627.6887213238. The cubic root of 135203145 is about 513.2499684248.

Adding to 135203145 its reverse (541302531), we get a palindrome (676505676).

The spelling of 135203145 in words is "one hundred thirty-five million, two hundred three thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 61 77 95 101 105 133 165 183 209 231 285 303 305 385 399 427 505 627 665 671 707 915 1045 1111 1155 1159 1281 1463 1515 1919 1995 2013 2121 2135 3135 3333 3355 3477 3535 4389 4697 5555 5757 5795 6161 6405 7315 7777 8113 9595 10065 10605 12749 13433 14091 16665 17385 18483 21109 21945 23331 23485 24339 28785 30805 38247 38885 40299 40565 43127 63327 63745 67165 67771 70455 89243 92415 105545 116655 117059 121695 129381 147763 191235 201495 203313 215635 267729 316635 338855 351177 443289 446215 474397 585295 646905 738815 819413 1016565 1287649 1338645 1423191 1755885 2216445 2371985 2458239 3862947 4097065 6438245 7115955 9013543 12291195 19314735 27040629 45067715 135203145