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134808576 = 210376269
BaseRepresentation
bin10000000100100…
…00010000000000
3100101122222121020
420002100100000
5234002333301
621213225440
73224565630
oct1002202000
9311588536
10134808576
116a106751
1239192280
1321c103b6
1413c926c0
15bc7d436
hex8090400

134808576 has 88 divisors (see below), whose sum is σ = 410710080. Its totient is φ = 38510592.

The previous prime is 134808571. The next prime is 134808577. The reversal of 134808576 is 675808431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (134808571) 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, 18370 + ... + 24638.

It is an arithmetic number, because the mean of its divisors is an integer number (4667160).

Almost surely, 2134808576 is an apocalyptic number.

134808576 is a gapful number since it is divisible by the number (16) 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 134808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205355040).

134808576 is an abundant number, since it is smaller than the sum of its proper divisors (275901504).

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

134808576 is an equidigital number, since it uses as much as digits as its factorization.

134808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 134808576 is about 11610.7095390420. The cubic root of 134808576 is about 512.7502023208.

The spelling of 134808576 in words is "one hundred thirty-four million, eight hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 6269 7168 10752 12538 18807 21504 25076 37614 43883 50152 75228 87766 100304 131649 150456 175532 200608 263298 300912 351064 401216 526596 601824 702128 802432 1053192 1203648 1404256 1604864 2106384 2407296 2808512 3209728 4212768 4814592 5617024 6419456 8425536 9629184 11234048 16851072 19258368 22468096 33702144 44936192 67404288 134808576