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134808704 = 2723291579
BaseRepresentation
bin10000000100100…
…00010010000000
3100101122222202222
420002100102000
5234002334304
621213230212
73224566202
oct1002202200
9311588688
10134808704
116a106858
1239192368
1321c10484
1413c92772
15bc7d4be
hex8090480

134808704 has 64 divisors (see below), whose sum is σ = 290088000. Its totient is φ = 62211072.

The previous prime is 134808637. The next prime is 134808721. The reversal of 134808704 is 407808431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 84587 + ... + 86165.

It is an arithmetic number, because the mean of its divisors is an integer number (4532625).

Almost surely, 2134808704 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 134808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145044000).

134808704 is an abundant number, since it is smaller than the sum of its proper divisors (155279296).

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

134808704 is a wasteful number, since it uses less digits than its factorization.

134808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 134808704 is about 11610.7150511930. The cubic root of 134808704 is about 512.7503646053.

The spelling of 134808704 in words is "one hundred thirty-four million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 368 464 667 736 928 1334 1472 1579 1856 2668 2944 3158 3712 5336 6316 10672 12632 21344 25264 36317 42688 45791 50528 72634 85376 91582 101056 145268 183164 202112 290536 366328 581072 732656 1053193 1162144 1465312 2106386 2324288 2930624 4212772 4648576 5861248 8425544 16851088 33702176 67404352 134808704