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134903664 = 2433726373
BaseRepresentation
bin10000000101001…
…11011101110000
3100101211211001000
420002213131300
5234013404124
621215242000
73225443100
oct1002473560
9311754030
10134903664
116a171135
1239219300
1321c4476c
1413cb9200
15bc9b6c9
hex80a7770

134903664 has 120 divisors (see below), whose sum is σ = 450514320. Its totient is φ = 38537856.

The previous prime is 134903647. The next prime is 134903683. The reversal of 134903664 is 466309431.

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, 17982 + ... + 24354.

It is an arithmetic number, because the mean of its divisors is an integer number (3754286).

Almost surely, 2134903664 is an apocalyptic number.

134903664 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 134903664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225257160).

134903664 is an abundant number, since it is smaller than the sum of its proper divisors (315610656).

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

134903664 is a wasteful number, since it uses less digits than its factorization.

134903664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 134903664 is about 11614.8036574020. The cubic root of 134903664 is about 512.8707310825.

The spelling of 134903664 in words is "one hundred thirty-four million, nine hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 6373 7056 10584 12746 19119 21168 25492 38238 44611 50984 57357 76476 89222 101968 114714 133833 152952 172071 178444 229428 267666 305904 312277 344142 356888 401499 458856 535332 624554 688284 713776 802998 917712 936831 1070664 1204497 1249108 1376568 1605996 1873662 2141328 2408994 2498216 2753136 2810493 3211992 3747324 4817988 4996432 5620986 6423984 7494648 8431479 9635976 11241972 14989296 16862958 19271952 22483944 33725916 44967888 67451832 134903664