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134530816 = 287372029
BaseRepresentation
bin10000000010011…
…00011100000000
3100101010212120211
420001030130000
5233414441231
621203243504
73222331060
oct1001143400
9311125524
10134530816
1169a36aa2
1239079594
1321b43b44
1413c1d3a0
15bc25eb1
hex804c700

134530816 has 72 divisors (see below), whose sum is σ = 315348320. Its totient is φ = 56070144.

The previous prime is 134530813. The next prime is 134530829. The reversal of 134530816 is 618035431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134530813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65290 + ... + 67318.

Almost surely, 2134530816 is an apocalyptic number.

134530816 is a gapful number since it is divisible by the number (16) 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 134530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157674160).

134530816 is an abundant number, since it is smaller than the sum of its proper divisors (180817504).

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

134530816 is an equidigital number, since it uses as much as digits as its factorization.

134530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 134530816 is about 11598.7420007516. The cubic root of 134530816 is about 512.3978028228.

The spelling of 134530816 in words is "one hundred thirty-four million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2029 2072 2368 4058 4144 4736 8116 8288 9472 14203 16232 16576 28406 32464 33152 56812 64928 66304 75073 113624 129856 150146 227248 259712 300292 454496 519424 525511 600584 908992 1051022 1201168 1817984 2102044 2402336 3635968 4204088 4804672 8408176 9609344 16816352 19218688 33632704 67265408 134530816