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134736128 = 282811873
BaseRepresentation
bin10000000011111…
…10100100000000
3100101112022012222
420001332210000
5233443024003
621211510212
73224144462
oct1001764400
9311468188
10134736128
116a06727a
1239158368
1321bb6427
1413c74132
15bc66c38
hex807e900

134736128 has 36 divisors (see below), whose sum is σ = 270047148. Its totient is φ = 67092480.

The previous prime is 134736113. The next prime is 134736131. The reversal of 134736128 is 821637431.

It can be written as a sum of positive squares in 2 ways, for example, as 38539264 + 96196864 = 6208^2 + 9808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71000 + ... + 72872.

Almost surely, 2134736128 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 134736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135023574).

134736128 is an abundant number, since it is smaller than the sum of its proper divisors (135311020).

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

134736128 is an equidigital number, since it uses as much as digits as its factorization.

134736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2156 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 134736128 is about 11607.5892415264. The cubic root of 134736128 is about 512.6583328362.

The spelling of 134736128 in words is "one hundred thirty-four million, seven hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 281 562 1124 1873 2248 3746 4496 7492 8992 14984 17984 29968 35968 59936 71936 119872 239744 479488 526313 1052626 2105252 4210504 8421008 16842016 33684032 67368064 134736128