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132187533120 = 2633515299483
BaseRepresentation
bin111101100011011111…
…1011010111101000000
3110122012101011102221000
41323012333122331000
54131210002024440
6140420501332000
712356505330636
oct1730677327500
9418171142830
10132187533120
1151073464145
1221751407000
13c60815c826
14657dc1d356
153689e1b730
hex1ec6fdaf40

132187533120 has 112 divisors (see below), whose sum is σ = 466328272320. Its totient is φ = 35250006528.

The previous prime is 132187533119. The next prime is 132187533139. The reversal of 132187533120 is 21335781231.

It is a happy number.

132187533120 is a `hidden beast` number, since 1 + 3 + 21 + 87 + 533 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7641102 + ... + 7658381.

Almost surely, 2132187533120 is an apocalyptic number.

132187533120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132187533120 is an abundant number, since it is smaller than the sum of its proper divisors (334140739200).

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

132187533120 is a wasteful number, since it uses less digits than its factorization.

132187533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15299509 (or 15299493 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 132187533120 in words is "one hundred thirty-two billion, one hundred eighty-seven million, five hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15299483 30598966 45898449 61197932 76497415 91796898 122395864 137695347 152994830 183593796 229492245 244791728 275390694 305989660 367187592 413086041 458984490 489583456 550781388 611979320 688476735 734375184 826172082 917968980 979166912 1101562776 1223958640 1376953470 1468750368 1652344164 1835937960 2065430205 2203125552 2447917280 2753906940 2937500736 3304688328 3671875920 4130860410 4406251104 4895834560 5507813880 6609376656 7343751840 8261720820 8812502208 11015627760 13218753312 14687503680 16523441640 22031255520 26437506624 33046883280 44062511040 66093766560 132187533120