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132544116540 = 2232511371809229
BaseRepresentation
bin111101101110000111…
…1101011011100111100
3110200010020010202102100
41323130033223130330
54132422243212130
6140520120225100
712401365254513
oct1733417533474
9420106122370
10132544116540
1151236775590
122183090b190
13c663cac434
1465b532167a
1536ab3a5c60
hex1edc3eb73c

132544116540 has 144 divisors (see below), whose sum is σ = 450454848480. Its totient is φ = 31263459840.

The previous prime is 132544116493. The next prime is 132544116569. The reversal of 132544116540 is 45611445231.

132544116540 is a `hidden beast` number, since 1 + 3 + 2 + 544 + 11 + 65 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132544116495 and 132544116504.

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, 831355 + ... + 977874.

It is an arithmetic number, because the mean of its divisors is an integer number (3128158670).

Almost surely, 2132544116540 is an apocalyptic number.

132544116540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132544116540 is an abundant number, since it is smaller than the sum of its proper divisors (317910731940).

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

132544116540 is a wasteful number, since it uses less digits than its factorization.

132544116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809292 (or 1809287 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 132544116540 in words is "one hundred thirty-two billion, five hundred forty-four million, one hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 1809229 3618458 5427687 7236916 9046145 10855374 16283061 18092290 19901519 21710748 27138435 32566122 36184580 39803038 54276870 59704557 65132244 66941473 79606076 81415305 99507595 108553740 119409114 133882946 162830610 179113671 199015190 200824419 238818228 267765892 298522785 325661220 334707365 358227342 398030380 401648838 597045570 602473257 669414730 716454684 736356203 803297676 895568355 1004122095 1194091140 1204946514 1338829460 1472712406 1791136710 2008244190 2209068609 2409893028 2945424812 3012366285 3582273420 3681781015 4016488380 4418137218 6024732570 6627205827 7363562030 8836274436 11045343045 12049465140 13254411654 14727124060 22090686090 26508823308 33136029135 44181372180 66272058270 132544116540