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134887808160 = 25325713381727
BaseRepresentation
bin111110110011111110…
…0001001110010100000
3110220011120012121220200
41331213330021302200
54202222234330120
6141544441505200
712513434310630
oct1754774116240
9426146177820
10134887808160
1152229718806
12221857a2200
13c948711501
1467586c46c0
153797007e90
hex1f67f09ca0

134887808160 has 144 divisors (see below), whose sum is σ = 526062491136. Its totient is φ = 30831496704.

The previous prime is 134887808131. The next prime is 134887808173. The reversal of 134887808160 is 61808788431.

It is a happy number.

134887808160 is a `hidden beast` number, since 1 + 3 + 488 + 7 + 80 + 81 + 6 + 0 = 666.

134887808160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 134887808097 and 134887808106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6680784 + ... + 6700943.

It is an arithmetic number, because the mean of its divisors is an integer number (3653211744).

Almost surely, 2134887808160 is an apocalyptic number.

134887808160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134887808160 is an abundant number, since it is smaller than the sum of its proper divisors (391174682976).

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

134887808160 is a wasteful number, since it uses less digits than its factorization.

134887808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13381755 (or 13381744 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 134887808160 in words is "one hundred thirty-four billion, eight hundred eighty-seven million, eight hundred eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 13381727 26763454 40145181 53526908 66908635 80290362 93672089 107053816 120435543 133817270 160580724 187344178 200725905 214107632 240871086 267634540 281016267 321161448 374688356 401451810 428215264 468360445 481742172 535269080 562032534 602177715 642322896 749376712 802903620 843048801 936720890 963484344 1070538160 1124065068 1204355430 1284645792 1405081335 1498753424 1605807240 1686097602 1873441780 1926968688 2141076320 2248130136 2408710860 2810162670 2997506848 3211614480 3372195204 3746883560 3853937376 4215244005 4496260272 4817421720 5620325340 6423228960 6744390408 7493767120 8430488010 8992520544 9634843440 11240650680 13488780816 14987534240 16860976020 19269686880 22481301360 26977561632 33721952040 44962602720 67443904080 134887808160