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134320128 = 212317643
BaseRepresentation
bin10000000000110…
…01000000000000
3100100202011120120
420000121000000
5233341221003
621154540240
73220462605
oct1000310000
9310664516
10134320128
1169902778
1238b97680
1321a9bc87
1413ba66ac
15bbd3853
hex8019000

134320128 has 104 divisors (see below), whose sum is σ = 379800288. Its totient is φ = 42074112.

The previous prime is 134320127. The next prime is 134320157. The reversal of 134320128 is 821023431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134320098 and 134320107.

It is not an unprimeable number, because it can be changed into a prime (134320127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208575 + ... + 209217.

Almost surely, 2134320128 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 134320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189900144).

134320128 is an abundant number, since it is smaller than the sum of its proper divisors (245480160).

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

134320128 is an equidigital number, since it uses as much as digits as its factorization.

134320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 134320128 is about 11589.6560777272. The cubic root of 134320128 is about 512.1301752337.

Adding to 134320128 its reverse (821023431), we get a palindrome (955343559).

The spelling of 134320128 in words is "one hundred thirty-four million, three hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 643 768 816 1024 1088 1286 1536 1632 1929 2048 2176 2572 3072 3264 3858 4096 4352 5144 6144 6528 7716 8704 10288 10931 12288 13056 15432 17408 20576 21862 26112 30864 32793 34816 41152 43724 52224 61728 65586 69632 82304 87448 104448 123456 131172 164608 174896 208896 246912 262344 329216 349792 493824 524688 658432 699584 987648 1049376 1316864 1399168 1975296 2098752 2633728 2798336 3950592 4197504 5596672 7901184 8395008 11193344 16790016 22386688 33580032 44773376 67160064 134320128