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135231180 = 2235736571
BaseRepresentation
bin10000000111101…
…11011011001100
3100102110110022020
420003313123030
5234104344210
621230250140
73231306000
oct1003673314
9312413266
10135231180
116a375207
1239356950
132202a866
1413d62700
15bd13770
hex80f76cc

135231180 has 96 divisors (see below), whose sum is σ = 441638400. Its totient is φ = 30905280.

The previous prime is 135231179. The next prime is 135231199. The reversal of 135231180 is 81132531.

135231180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135231180.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17295 + ... + 23865.

It is an arithmetic number, because the mean of its divisors is an integer number (4600400).

Almost surely, 2135231180 is an apocalyptic number.

135231180 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 135231180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220819200).

135231180 is an abundant number, since it is smaller than the sum of its proper divisors (306407220).

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

135231180 is a wasteful number, since it uses less digits than its factorization.

135231180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 135231180 is about 11628.8941864650. The cubic root of 135231180 is about 513.2854408946.

The spelling of 135231180 in words is "one hundred thirty-five million, two hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6571 6860 10290 13142 19713 20580 26284 32855 39426 45997 65710 78852 91994 98565 131420 137991 183988 197130 229985 275982 321979 394260 459970 551964 643958 689955 919940 965937 1287916 1379910 1609895 1931874 2253853 2759820 3219790 3863748 4507706 4829685 6439580 6761559 9015412 9659370 11269265 13523118 19318740 22538530 27046236 33807795 45077060 67615590 135231180