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132540554432 = 26111319375037
BaseRepresentation
bin111101101110000001…
…0000101110011000000
3110200002222102210010102
41323130002011303000
54132420340220212
6140515512021532
712401323060406
oct1733402056300
9420088383112
10132540554432
11512347622a0
122182b6918a8
13c663332c90
1465b4a75476
1536aae005c2
hex1edc085cc0

132540554432 has 112 divisors (see below), whose sum is σ = 310596088992. Its totient is φ = 55322542080.

The previous prime is 132540554429. The next prime is 132540554449. The reversal of 132540554432 is 234455045231.

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, 1728818 + ... + 1803854.

It is an arithmetic number, because the mean of its divisors is an integer number (2773179366).

Almost surely, 2132540554432 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 132540554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155298044496).

132540554432 is an abundant number, since it is smaller than the sum of its proper divisors (178055534560).

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

132540554432 is a wasteful number, since it uses less digits than its factorization.

132540554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75266 (or 75256 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 132540554432 its reverse (234455045231), we get a palindrome (366995599663).

The spelling of 132540554432 in words is "one hundred thirty-two billion, five hundred forty million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 193 208 286 352 386 416 572 704 772 832 1144 1544 2123 2288 2509 3088 4246 4576 5018 6176 8492 9152 10036 12352 16984 20072 27599 33968 40144 55198 67936 75037 80288 110396 135872 150074 160576 220792 300148 441584 600296 825407 883168 975481 1200592 1650814 1766336 1950962 2401184 3301628 3901924 4802368 6603256 7803848 10730291 13206512 14482141 15607696 21460582 26413024 28964282 31215392 42921164 52826048 57928564 62430784 85842328 115857128 159303551 171684656 188267833 231714256 318607102 343369312 376535666 463428512 637214204 686738624 753071332 926857024 1274428408 1506142664 2070946163 2548856816 3012285328 4141892326 5097713632 6024570656 8283784652 10195427264 12049141312 16567569304 33135138608 66270277216 132540554432