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134143120000 = 27541918779
BaseRepresentation
bin111110011101110001…
…1011001001010000000
3110211020122221112210201
41330323203121022000
54144211114320000
6141342520334544
712456122464261
oct1747343311200
9424218845721
10134143120000
115198732654a
1221bb8314454
13c85a356726
1466c7836968
15375195996a
hex1f3b8d9280

134143120000 has 160 divisors (see below), whose sum is σ = 335727532800. Its totient is φ = 53370240000.

The previous prime is 134143119919. The next prime is 134143120031. The reversal of 134143120000 is 21341431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 134143120000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15275611 + ... + 15284389.

It is an arithmetic number, because the mean of its divisors is an integer number (2098297080).

Almost surely, 2134143120000 is an apocalyptic number.

134143120000 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 134143120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167863766400).

134143120000 is an abundant number, since it is smaller than the sum of its proper divisors (201584412800).

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

134143120000 is an frugal number, since it uses more digits than its factorization.

134143120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9004 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 134143120000 its reverse (21341431), we get a palindrome (134164461431).

The spelling of 134143120000 in words is "one hundred thirty-four billion, one hundred forty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 191 200 250 320 382 400 500 625 640 764 800 955 1000 1250 1528 1600 1910 2000 2500 3056 3200 3820 4000 4775 5000 6112 7640 8000 8779 9550 10000 12224 15280 16000 17558 19100 20000 23875 24448 30560 35116 38200 40000 43895 47750 61120 70232 76400 80000 87790 95500 119375 122240 140464 152800 175580 191000 219475 238750 280928 305600 351160 382000 438950 477500 561856 611200 702320 764000 877900 955000 1097375 1123712 1404640 1528000 1676789 1755800 1910000 2194750 2809280 3056000 3353578 3511600 3820000 4389500 5486875 5618560 6707156 7023200 7640000 8383945 8779000 10973750 13414312 14046400 15280000 16767890 17558000 21947500 26828624 28092800 33535780 35116000 41919725 43895000 53657248 67071560 70232000 83839450 87790000 107314496 134143120 140464000 167678900 175580000 209598625 214628992 268286240 335357800 351160000 419197250 536572480 670715600 702320000 838394500 1047993125 1073144960 1341431200 1676789000 2095986250 2682862400 3353578000 4191972500 5365724800 6707156000 8383945000 13414312000 16767890000 26828624000 33535780000 67071560000 134143120000