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134678760 = 233517107617
BaseRepresentation
bin10000000011100…
…00100011101000
3100101102101112020
420001300203220
5233434210020
621210344440
73223515306
oct1001604350
9311371466
10134678760
116a028167
123912b120
1321b96298
1413c5b276
15bc54c40
hex80708e8

134678760 has 128 divisors (see below), whose sum is σ = 432501120. Its totient is φ = 33431552.

The previous prime is 134678749. The next prime is 134678773. The reversal of 134678760 is 67876431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217972 + ... + 218588.

It is an arithmetic number, because the mean of its divisors is an integer number (3378915).

Almost surely, 2134678760 is an apocalyptic number.

134678760 is a gapful number since it is divisible by the number (10) 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 134678760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216250560).

134678760 is an abundant number, since it is smaller than the sum of its proper divisors (297822360).

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

134678760 is a wasteful number, since it uses less digits than its factorization.

134678760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 134678760 is about 11605.1178365409. The cubic root of 134678760 is about 512.5855625536.

The spelling of 134678760 in words is "one hundred thirty-four million, six hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 107 120 136 170 204 214 255 321 340 408 428 510 535 617 642 680 856 1020 1070 1234 1284 1605 1819 1851 2040 2140 2468 2568 3085 3210 3638 3702 4280 4936 5457 6170 6420 7276 7404 9095 9255 10489 10914 12340 12840 14552 14808 18190 18510 20978 21828 24680 27285 31467 36380 37020 41956 43656 52445 54570 62934 66019 72760 74040 83912 104890 109140 125868 132038 157335 198057 209780 218280 251736 264076 314670 330095 396114 419560 528152 629340 660190 792228 990285 1122323 1258680 1320380 1584456 1980570 2244646 2640760 3366969 3961140 4489292 5611615 6733938 7922280 8978584 11223230 13467876 16834845 22446460 26935752 33669690 44892920 67339380 134678760