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134792960 = 285314379
BaseRepresentation
bin10000000100011…
…00011100000000
3100101122012011212
420002030130000
5234001333320
621213025252
73224502251
oct1002143400
9311565155
10134792960
116a0a5a45
1239185228
1321c06263
1413c8ab28
15bc789c5
hex808c700

134792960 has 144 divisors (see below), whose sum is σ = 345354240. Its totient is φ = 50319360.

The previous prime is 134792927. The next prime is 134792963. The reversal of 134792960 is 69297431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134792963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706201 + ... + 1706279.

Almost surely, 2134792960 is an apocalyptic number.

134792960 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 134792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172677120).

134792960 is an abundant number, since it is smaller than the sum of its proper divisors (210561280).

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

134792960 is an equidigital number, since it uses as much as digits as its factorization.

134792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 134792960 is about 11610.0370369780. The cubic root of 134792960 is about 512.7304028476.

The spelling of 134792960 in words is "one hundred thirty-four million, seven hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 79 80 86 124 128 155 158 160 172 215 248 256 310 316 320 344 395 430 496 620 632 640 688 790 860 992 1240 1264 1280 1333 1376 1580 1720 1984 2449 2480 2528 2666 2752 3160 3397 3440 3968 4898 4960 5056 5332 5504 6320 6665 6794 6880 7936 9796 9920 10112 10664 11008 12245 12640 13330 13588 13760 16985 19592 19840 20224 21328 24490 25280 26660 27176 27520 33970 39184 39680 42656 48980 50560 53320 54352 55040 67940 78368 85312 97960 101120 105307 106640 108704 135880 156736 170624 195920 210614 213280 217408 271760 313472 341248 391840 421228 426560 434816 526535 543520 626944 783680 842456 853120 869632 1053070 1087040 1567360 1684912 1706240 2106140 2174080 3134720 3369824 4212280 4348160 6739648 8424560 13479296 16849120 26958592 33698240 67396480 134792960