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134807904 = 25327116079
BaseRepresentation
bin10000000100100…
…00000101100000
3100101122221200100
420002100011200
5234002323104
621213222400
73224563650
oct1002200540
9311587610
10134807904
116a1061a0
1239191a00
1321c0ccba
1413c92360
15bc7d139
hex8090160

134807904 has 144 divisors (see below), whose sum is σ = 478033920. Its totient is φ = 35009280.

The previous prime is 134807873. The next prime is 134807917. The reversal of 134807904 is 409708431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19137 + ... + 25215.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2134807904 is an apocalyptic number.

134807904 is a gapful number since it is divisible by the number (14) 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 134807904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

134807904 is an abundant number, since it is smaller than the sum of its proper divisors (343226016).

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

134807904 is a wasteful number, since it uses less digits than its factorization.

134807904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 134807904 is about 11610.6806002060. The cubic root of 134807904 is about 512.7493503258.

The spelling of 134807904 in words is "one hundred thirty-four million, eight hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 6079 7392 11088 12158 18237 22176 24316 36474 42553 48632 54711 66869 72948 85106 97264 109422 127659 133738 145896 170212 194528 200607 218844 255318 267476 291792 340424 382977 401214 437688 468083 510636 534952 583584 601821 680848 765954 802428 875376 936166 1021272 1069904 1203642 1361696 1404249 1531908 1604856 1750752 1872332 2042544 2139808 2407284 2808498 3063816 3209712 3744664 4085088 4212747 4814568 5616996 6127632 6419424 7489328 8425494 9629136 11233992 12255264 14978656 16850988 19258272 22467984 33701976 44935968 67403952 134807904