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132354152052144 = 243119725710055387
BaseRepresentation
bin11110000110000000011010…
…001101111011010110110000
3122100121221012102102102212220
4132012000122031323112300
5114321442300411132034
61145254354050321040
736610162162036221
oct3606003215732660
9570557172372786
10132354152052144
1139199098405610
1212a17155889180
1358b0c34976559
142497d91ad5248
151047c7dd87749
hex78601a37b5b0

132354152052144 has 160 divisors (see below), whose sum is σ = 378309760125696. Its totient is φ = 39539386613760.

The previous prime is 132354152052137. The next prime is 132354152052179. The reversal of 132354152052144 is 441250251453231.

It is a junction number, because it is equal to n+sod(n) for n = 132354152052096 and 132354152052105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8134819 + ... + 18190205.

Almost surely, 2132354152052144 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 132354152052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189154880062848).

132354152052144 is an abundant number, since it is smaller than the sum of its proper divisors (245955608073552).

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

132354152052144 is a wasteful number, since it uses less digits than its factorization.

132354152052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10055763 (or 10055757 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 132354152052144 in words is "one hundred thirty-two trillion, three hundred fifty-four billion, one hundred fifty-two million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 257 264 291 388 514 528 582 771 776 1028 1067 1164 1542 1552 2056 2134 2328 2827 3084 3201 4112 4268 4656 5654 6168 6402 8481 8536 11308 12336 12804 16962 17072 22616 24929 25608 33924 45232 49858 51216 67848 74787 99716 135696 149574 199432 274219 299148 398864 548438 598296 822657 1096876 1196592 1645314 2193752 3290628 4387504 6581256 10055387 13162512 20110774 30166161 40221548 60332322 80443096 110609257 120664644 160886192 221218514 241329288 331827771 442437028 482658576 663655542 884874056 975372539 1327311084 1769748112 1950745078 2584234459 2654622168 2926117617 3901490156 5168468918 5309244336 5852235234 7752703377 7802980312 10336937836 10729097929 11704470468 15505406754 15605960624 20673875672 21458195858 23408940936 28426579049 31010813508 32187293787 41347751344 42916391716 46817881872 56853158098 62021627016 64374587574 85279737147 85832783432 113706316196 124043254032 128749175148 170559474294 171665566864 227412632392 250670742523 257498350296 341118948588 454825264784 501341485046 514996700592 682237897176 752012227569 1002682970092 1364475794352 1504024455138 2005365940184 2757378167753 3008048910276 4010731880368 5514756335506 6016097820552 8272134503259 11029512671012 12032195641104 16544269006518 22059025342024 33088538013036 44118050684048 66177076026072 132354152052144