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134106516224 = 28191511571163
BaseRepresentation
bin111110011100101011…
…1110000101100000000
3110211011010001212212022
41330321113300230000
54144122232004344
6141335132021012
712455166402602
oct1747127605400
9424133055768
10134106516224
11519686a559a
1221ba8001768
13c8528ab9a5
1466c2a29172
15374d6290ee
hex1f395f0b00

134106516224 has 144 divisors (see below), whose sum is σ = 285696257280. Its totient is φ = 62647603200.

The previous prime is 134106516223. The next prime is 134106516227. The reversal of 134106516224 is 422615601431.

It is not an unprimeable number, because it can be changed into a prime (134106516223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115310267 + ... + 115311429.

Almost surely, 2134106516224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134106516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848128640).

134106516224 is an abundant number, since it is smaller than the sum of its proper divisors (151589741056).

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

134106516224 is a wasteful number, since it uses less digits than its factorization.

134106516224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 134106516224 in words is "one hundred thirty-four billion, one hundred six million, five hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 151 152 157 256 302 304 314 604 608 628 1163 1208 1216 1256 2326 2416 2432 2512 2869 2983 4652 4832 4864 5024 5738 5966 9304 9664 10048 11476 11932 18608 19328 20096 22097 22952 23707 23864 37216 38656 40192 44194 45904 47414 47728 74432 88388 91808 94828 95456 148864 175613 176776 182591 183616 189656 190912 297728 351226 353552 365182 367232 379312 381824 450433 702452 707104 730364 734464 758624 763648 900866 1404904 1414208 1460728 1517248 1801732 2809808 2828416 2921456 3034496 3336647 3469229 3603464 5619616 5656832 5842912 6068992 6673294 6938458 7206928 11239232 11685824 13346588 13876916 14413856 22478464 23371648 26693176 27571241 27753832 28827712 44956928 46743296 53386352 55142482 55507664 57655424 106772704 110284964 111015328 115310848 213545408 220569928 222030656 427090816 441139856 444061312 523853579 854181632 882279712 888122624 1047707158 1764559424 2095414316 3529118848 4190828632 7058237696 8381657264 16763314528 33526629056 67053258112 134106516224