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134173664000 = 28536762581
BaseRepresentation
bin111110011110101011…
…1111010001100000000
3110211022210102100021222
41330331113322030000
54144241424222000
6141345531134212
712456643216655
oct1747527721400
9424283370258
10134173664000
11519a2598722
12220065a4368
13c86378c1bc
1466cb907c2c
15375448ea85
hex1f3d5fa300

134173664000 has 144 divisors (see below), whose sum is σ = 339237496416. Its totient is φ = 52867584000.

The previous prime is 134173663969. The next prime is 134173664017. The reversal of 134173664000 is 466371431.

It is a super-3 number, since 3×1341736640003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112710 + ... + 2175290.

Almost surely, 2134173664000 is an apocalyptic number.

134173664000 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 134173664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169618748208).

134173664000 is an abundant number, since it is smaller than the sum of its proper divisors (205063832416).

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

134173664000 is an frugal number, since it uses more digits than its factorization.

134173664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62679 (or 62655 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 134173664000 in words is "one hundred thirty-four billion, one hundred seventy-three million, six hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 256 268 320 335 400 500 536 640 670 800 1000 1072 1280 1340 1600 1675 2000 2144 2680 3200 3350 4000 4288 5360 6400 6700 8000 8375 8576 10720 13400 16000 16750 17152 21440 26800 32000 33500 42880 53600 62581 67000 85760 107200 125162 134000 214400 250324 268000 312905 428800 500648 536000 625810 1001296 1072000 1251620 1564525 2002592 2144000 2503240 3129050 4005184 4192927 5006480 6258100 7822625 8010368 8385854 10012960 12516200 15645250 16020736 16771708 20025920 20964635 25032400 31290500 33543416 40051840 41929270 50064800 62581000 67086832 80103680 83858540 100129600 104823175 125162000 134173664 167717080 200259200 209646350 250324000 268347328 335434160 400518400 419292700 500648000 524115875 536694656 670868320 838585400 1001296000 1048231750 1073389312 1341736640 1677170800 2002592000 2096463500 2683473280 3354341600 4192927000 5366946560 6708683200 8385854000 13417366400 16771708000 26834732800 33543416000 67086832000 134173664000