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132321150122540 = 225417111197202981
BaseRepresentation
bin11110000101100001101011…
…001001100011101000101100
3122100111210000110110201020212
4132011201223021203220230
5114320422203412410130
61145231255220401552
736604613311210061
oct3605415311435054
9570453013421225
10132321150122540
11391860a2703425
1212a108855462b8
1358aaaa56a2862
142496540b00c68
151046e9b937e95
hex78586b263a2c

132321150122540 has 96 divisors (see below), whose sum is σ = 288688223311488. Its totient is φ = 50905435392000.

The previous prime is 132321150122453. The next prime is 132321150122569. The reversal of 132321150122540 is 45221051123231.

It is a junction number, because it is equal to n+sod(n) for n = 132321150122497 and 132321150122506.

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, 651787850 + ... + 651990830.

It is an arithmetic number, because the mean of its divisors is an integer number (3007168992828).

Almost surely, 2132321150122540 is an apocalyptic number.

132321150122540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132321150122540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144344111655744).

132321150122540 is an abundant number, since it is smaller than the sum of its proper divisors (156367073188948).

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

132321150122540 is a wasteful number, since it uses less digits than its factorization.

132321150122540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214299 (or 214297 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 132321150122540 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred fifty million, one hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 410 710 820 1420 2911 5822 11197 11644 14555 22394 29110 44788 55985 58220 111970 202981 223940 405962 459077 794987 811924 918154 1014905 1589974 1836308 2029810 2295385 3179948 3974935 4059620 4590770 7949870 8322221 9181540 14411651 15899740 16644442 28823302 32594467 33288884 41611105 57646604 65188934 72058255 83222210 130377868 144116510 162972335 166444420 288233020 325944670 590877691 651889340 1181755382 2272778257 2363510764 2954388455 4545556514 5908776910 9091113028 11363891285 11817553820 22727782570 45455565140 93183908537 161367256247 186367817074 322734512494 372735634148 465919542685 645469024988 806836281235 931839085370 1613672562470 1863678170740 3227345124940 6616057506127 13232115012254 26464230024508 33080287530635 66160575061270 132321150122540