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134881344 = 26321318013
BaseRepresentation
bin10000000101000…
…10000001000000
3100101210200102100
420002202001000
5234012200334
621214550400
73225321033
oct1002420100
9311720370
10134881344
116a156394
1239208400
1321c37560
1413cb101a
15bc94c99
hex80a2040

134881344 has 84 divisors (see below), whose sum is σ = 416375596. Its totient is φ = 41499648.

The previous prime is 134881339. The next prime is 134881363. The reversal of 134881344 is 443188431.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 58982400 = 8712^2 + 7680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 134881299 and 134881308.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1519 + ... + 16494.

Almost surely, 2134881344 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 134881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208187798).

134881344 is an abundant number, since it is smaller than the sum of its proper divisors (281494252).

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

134881344 is a wasteful number, since it uses less digits than its factorization.

134881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18044 (or 18031 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 134881344 is about 11613.8427748958. The cubic root of 134881344 is about 512.8424444624.

The spelling of 134881344 in words is "one hundred thirty-four million, eight hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 18013 36026 54039 72052 108078 144104 162117 216156 234169 288208 324234 432312 468338 576416 648468 702507 864624 936676 1152832 1296936 1405014 1729248 1873352 2107521 2593872 2810028 3458496 3746704 4215042 5187744 5620056 7493408 8430084 10375488 11240112 14986816 16860168 22480224 33720336 44960448 67440672 134881344