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135344128 = 212173191
BaseRepresentation
bin10000001000100…
…11000000000000
3100102200012020111
420010103000000
5234122003003
621232521104
73232256203
oct1004230000
9312605214
10135344128
116a442057
12393b0194
132206a0aa
1413d9193a
15bd36e6d
hex8113000

135344128 has 52 divisors (see below), whose sum is σ = 273644928. Its totient is φ = 66928640.

The previous prime is 135344093. The next prime is 135344129. The reversal of 135344128 is 821443531.

It is a self number, because there is not a number n which added to its sum of digits gives 135344128.

It is not an unprimeable number, because it can be changed into a prime (135344129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708513 + ... + 708703.

Almost surely, 2135344128 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 135344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136822464).

135344128 is an abundant number, since it is smaller than the sum of its proper divisors (138300800).

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

135344128 is an equidigital number, since it uses as much as digits as its factorization.

135344128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 135344128 is about 11633.7495245514. The cubic root of 135344128 is about 513.4283034872.

Adding to 135344128 its reverse (821443531), we get a palindrome (956787659).

The spelling of 135344128 in words is "one hundred thirty-five million, three hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 191 256 346 382 512 692 764 1024 1384 1528 2048 2768 3056 4096 5536 6112 11072 12224 22144 24448 33043 44288 48896 66086 88576 97792 132172 177152 195584 264344 354304 391168 528688 708608 782336 1057376 2114752 4229504 8459008 16918016 33836032 67672064 135344128