Search a number
-
+
135185316 = 223721491543
BaseRepresentation
bin10000000111011…
…00001110100100
3100102101010101120
420003230032210
5234101412231
621225253540
73231025200
oct1003541644
9312333346
10135185316
116a343802
12393342b0
1322012a16
1413d4db00
15bd04d96
hex80ec3a4

135185316 has 72 divisors (see below), whose sum is σ = 369633600. Its totient is φ = 38340288.

The previous prime is 135185299. The next prime is 135185339. The reversal of 135185316 is 613581531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86841 + ... + 88383.

It is an arithmetic number, because the mean of its divisors is an integer number (5133800).

Almost surely, 2135185316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135185316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184816800).

135185316 is an abundant number, since it is smaller than the sum of its proper divisors (234448284).

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

135185316 is a wasteful number, since it uses less digits than its factorization.

135185316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1704 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 135185316 is about 11626.9220346573. The cubic root of 135185316 is about 513.2274069774.

The spelling of 135185316 in words is "one hundred thirty-five million, one hundred eighty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 149 196 294 298 447 588 596 894 1043 1543 1788 2086 3086 3129 4172 4629 6172 6258 7301 9258 10801 12516 14602 18516 21602 21903 29204 32403 43204 43806 64806 75607 87612 129612 151214 226821 229907 302428 453642 459814 689721 907284 919628 1379442 1609349 2758884 3218698 4828047 6437396 9656094 11265443 19312188 22530886 33796329 45061772 67592658 135185316