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135084096 = 2632733503
BaseRepresentation
bin10000000110100…
…11100001000000
3100102011222112200
420003103201000
5234040142341
621223153200
73230124120
oct1003234100
9312158480
10135084096
116a284754
12392a5800
1321ca8924
1413d24c80
15bcd4db6
hex80d3840

135084096 has 84 divisors (see below), whose sum is σ = 442520832. Its totient is φ = 38594304.

The previous prime is 135084071. The next prime is 135084133. The reversal of 135084096 is 690480531.

135084096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135084096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12720 + ... + 20783.

Almost surely, 2135084096 is an apocalyptic number.

135084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135084096 is an abundant number, since it is smaller than the sum of its proper divisors (307436736).

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

135084096 is a wasteful number, since it uses less digits than its factorization.

135084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33528 (or 33515 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135084096 is about 11622.5683908506. The cubic root of 135084096 is about 513.0992819940.

The spelling of 135084096 in words is "one hundred thirty-five million, eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 33503 67006 100509 134012 201018 234521 268024 301527 402036 469042 536048 603054 703563 804072 938084 1072096 1206108 1407126 1608144 1876168 2110689 2144192 2412216 2814252 3216288 3752336 4221378 4824432 5628504 6432576 7504672 8442756 9648864 11257008 15009344 16885512 19297728 22514016 33771024 45028032 67542048 135084096