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134932032 = 2632733209
BaseRepresentation
bin10000000101011…
…10011001000000
3100101220020221200
420002232121000
5234020311112
621220021200
73225621564
oct1002563100
9311806850
10134932032
116a190484
1239231800
1321c54651
1413cc56a4
15bca4cdc
hex80ae640

134932032 has 84 divisors (see below), whose sum is σ = 392178540. Its totient is φ = 44347392.

The previous prime is 134932019. The next prime is 134932033. The reversal of 134932032 is 230239431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 58614336 = 8736^2 + 7656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134931987 and 134932005.

It is not an unprimeable number, because it can be changed into a prime (134932033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40444 + ... + 43652.

Almost surely, 2134932032 is an apocalyptic number.

134932032 is a gapful number since it is divisible by the number (12) 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 134932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196089270).

134932032 is an abundant number, since it is smaller than the sum of its proper divisors (257246508).

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

134932032 is a wasteful number, since it uses less digits than its factorization.

134932032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134932032 is about 11616.0247933620. The cubic root of 134932032 is about 512.9066779619.

The spelling of 134932032 in words is "one hundred thirty-four million, nine hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3209 3504 4672 5256 6418 7008 9627 10512 12836 14016 19254 21024 25672 28881 38508 42048 51344 57762 77016 102688 115524 154032 205376 231048 234257 308064 462096 468514 616128 702771 924192 937028 1405542 1848384 1874056 2108313 2811084 3748112 4216626 5622168 7496224 8433252 11244336 14992448 16866504 22488672 33733008 44977344 67466016 134932032