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132153454116054 = 232717313197112749
BaseRepresentation
bin11110000011000101011111…
…101100000011110011010110
3122022220202011102211221001200
4132003011133230003303112
5114310200233223203204
61145022243025133330
736556525534525140
oct3603053754036326
9568822142757050
10132153454116054
1139120a68684728
12129a428448a246
13589802bb8b557
14248c393055c90
1510429344ec539
hex78315fb03cd6

132153454116054 has 96 divisors (see below), whose sum is σ = 347593354056000. Its totient is φ = 35423526168576.

The previous prime is 132153454115953. The next prime is 132153454116083. The reversal of 132153454116054 is 450611454351231.

132153454116054 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 34 + 5 + 4 + 1 + 1 + 605 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97885929 + ... + 99226820.

It is an arithmetic number, because the mean of its divisors is an integer number (3620764104750).

Almost surely, 2132153454116054 is an apocalyptic number.

132153454116054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132153454116054 is an abundant number, since it is smaller than the sum of its proper divisors (215439899939946).

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

132153454116054 is a wasteful number, since it uses less digits than its factorization.

132153454116054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197113094 (or 197113091 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 132153454116054 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred fifty-four million, one hundred sixteen thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 313 357 626 714 939 1071 1878 2142 2191 2817 4382 5321 5634 6573 10642 13146 15963 19719 31926 37247 39438 47889 74494 95778 111741 223482 335223 670446 197112749 394225498 591338247 1182676494 1379789243 1774014741 2759578486 3350916733 3548029482 4139367729 6701833466 8278735458 10052750199 12418103187 20105500398 23456417131 24836206374 30158250597 46912834262 60316501194 61696290437 70369251393 123392580874 140738502786 185088871311 211107754179 370177742622 422215508358 431874033059 555266613933 863748066118 1048836937429 1110533227866 1295622099177 2097673874858 2591244198354 3146510812287 3886866297531 6293021624574 7341858562003 7773732595062 9439532436861 14683717124006 18879064873722 22025575686009 44051151372018 66076727058027 132153454116054