Search a number
-
+
134536500 = 22325374271
BaseRepresentation
bin10000000010011…
…01110100110100
3100101011011101100
420001031310310
5233420132000
621203330100
73222353460
oct1001156464
9311134340
10134536500
1169a4029a
1239080930
1321b465c7
1413c214a0
15bc27a00
hex804dd34

134536500 has 144 divisors (see below), whose sum is σ = 485162496. Its totient is φ = 30744000.

The previous prime is 134536489. The next prime is 134536531. The reversal of 134536500 is 5635431.

134536500 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 650 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 29365 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (3369184).

Almost surely, 2134536500 is an apocalyptic number.

134536500 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 134536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242581248).

134536500 is an abundant number, since it is smaller than the sum of its proper divisors (350625996).

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

134536500 is a wasteful number, since it uses less digits than its factorization.

134536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 134536500 is about 11598.9870247363. The cubic root of 134536500 is about 512.4050190829.

The spelling of 134536500 in words is "one hundred thirty-four million, five hundred thirty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4271 4500 5250 6300 7875 8542 10500 12813 15750 17084 21355 25626 29897 31500 38439 42710 51252 59794 64065 76878 85420 89691 106775 119588 128130 149485 153756 179382 192195 213550 256260 269073 298970 320325 358764 384390 427100 448455 533875 538146 597940 640650 747425 768780 896910 960975 1067750 1076292 1281300 1345365 1494850 1601625 1793820 1921950 2135500 2242275 2690730 2989700 3203250 3737125 3843900 4484550 4804875 5381460 6406500 6726825 7474250 8969100 9609750 11211375 13453650 14948500 19219500 22422750 26907300 33634125 44845500 67268250 134536500