Search a number
-
+
134672213088 = 2533723181033
BaseRepresentation
bin111110101101100010…
…1101110010001100000
3110212121112112021002000
41331123011232101200
54201302041304323
6141511220524000
712505205631600
oct1753305562140
9425545467060
10134672213088
1152128a53a66
1222125550600
13c912b56a6a
146737c02c00
15378311ce43
hex1f5b16e460

134672213088 has 144 divisors (see below), whose sum is σ = 456923723760. Its totient is φ = 38477763072.

The previous prime is 134672213069. The next prime is 134672213131. The reversal of 134672213088 is 880312276431.

134672213088 is a `hidden beast` number, since 1 + 346 + 7 + 221 + 3 + 0 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1548181 + ... + 1632852.

It is an arithmetic number, because the mean of its divisors is an integer number (3173081415).

Almost surely, 2134672213088 is an apocalyptic number.

134672213088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134672213088 is an abundant number, since it is smaller than the sum of its proper divisors (322251510672).

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

134672213088 is a wasteful number, since it uses less digits than its factorization.

134672213088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181066 (or 3181045 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 134672213088 in words is "one hundred thirty-four billion, six hundred seventy-two million, two hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 3181033 6362066 9543099 12724132 19086198 22267231 25448264 28629297 38172396 44534462 50896528 57258594 66801693 76344792 85887891 89068924 101793056 114517188 133603386 152689584 155870617 171775782 178137848 200405079 229034376 267206772 305379168 311741234 343551564 356275696 400810158 458068752 467611851 534413544 601215237 623482468 687103128 712551392 801620316 916137504 935223702 1068827088 1202430474 1246964936 1374206256 1402835553 1603240632 1870447404 2137654176 2404860948 2493929872 2748412512 2805671106 3206481264 3740894808 4208506659 4809721896 4987859744 5611342212 6412962528 7481789616 8417013318 9619443792 11222684424 14963579232 16834026636 19238887584 22445368848 33668053272 44890737696 67336106544 134672213088