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134736672 = 2537228643
BaseRepresentation
bin10000000011111…
…10101100100000
3100101112022222010
420001332230200
5233443033142
621211512520
73224146200
oct1001765440
9311468863
10134736672
116a067724
1239158740
1321bb6755
1413c74400
15bc66e9c
hex807eb20

134736672 has 72 divisors (see below), whose sum is σ = 411442416. Its totient is φ = 38494848.

The previous prime is 134736671. The next prime is 134736689. The reversal of 134736672 is 276637431.

134736672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134736672.

It is not an unprimeable number, because it can be changed into a prime (134736671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9618 + ... + 19025.

It is an arithmetic number, because the mean of its divisors is an integer number (5714478).

Almost surely, 2134736672 is an apocalyptic number.

134736672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134736672 is an abundant number, since it is smaller than the sum of its proper divisors (276705744).

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

134736672 is a wasteful number, since it uses less digits than its factorization.

134736672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28670 (or 28655 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 134736672 is about 11607.6126744477. The cubic root of 134736672 is about 512.6590227916.

The spelling of 134736672 in words is "one hundred thirty-four million, seven hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 28643 57286 85929 114572 171858 200501 229144 343716 401002 458288 601503 687432 802004 916576 1203006 1374864 1403507 1604008 2406012 2749728 2807014 3208016 4210521 4812024 5614028 6416032 8421042 9624048 11228056 16842084 19248096 22456112 33684168 44912224 67368336 134736672