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132855249383136 = 2533723138115301
BaseRepresentation
bin11110001101010011000101…
…111100100010111011100000
3122102101211121202110100021000
4132031103011330202323200
5114403200022320230021
61150320505313232000
736661321634054400
oct3615230574427340
9572354552410230
10132855249383136
113937165a825025
1212a982a2262600
13591927224c1b7
1424b432a960800
151055d0aec5b26
hex78d4c5f22ee0

132855249383136 has 144 divisors (see below), whose sum is σ = 450758881979280. Its totient is φ = 37958642668800.

The previous prime is 132855249383107. The next prime is 132855249383189. The reversal of 132855249383136 is 631383942558231.

132855249383136 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 5 + 5 + 2 + 493 + 8 + 3 + 136 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 1569015315 + ... + 1569099986.

It is an arithmetic number, because the mean of its divisors is an integer number (3130270013745).

Almost surely, 2132855249383136 is an apocalyptic number.

132855249383136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132855249383136 is an abundant number, since it is smaller than the sum of its proper divisors (317903632596144).

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

132855249383136 is a wasteful number, since it uses less digits than its factorization.

132855249383136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138115334 (or 3138115313 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 132855249383136 in words is "one hundred thirty-two trillion, eight hundred fifty-five billion, two hundred forty-nine million, three hundred eighty-three thousand, one hundred thirty-six".

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 3138115301 6276230602 9414345903 12552461204 18828691806 21966807107 25104922408 28243037709 37657383612 43933614214 50209844816 56486075418 65900421321 75314767224 84729113127 87867228428 100419689632 112972150836 131800842642 150629534448 153767649749 169458226254 175734456856 197701263963 225944301672 263601685284 301259068896 307535299498 338916452508 351468913712 395402527926 451888603344 461302949247 527203370568 593103791889 615070598996 677832905016 702937827424 790805055852 903777206688 922605898494 1054406741136 1186207583778 1230141197992 1355665810032 1383908847741 1581610111704 1845211796988 2108813482272 2372415167556 2460282395984 2711331620064 2767817695482 3163220223408 3690423593976 4151726543223 4744830335112 4920564791968 5535635390964 6326440446816 7380847187952 8303453086446 9489660670224 11071270781928 14761694375904 16606906172892 18979321340448 22142541563856 33213812345784 44285083127712 66427624691568 132855249383136