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132613145220 = 223537136143891
BaseRepresentation
bin111101110000001011…
…1000000001010000100
3110200022001000202222010
41323200113000022010
54133042431121340
6140531023534220
712403164064353
oct1734027001204
9420261022863
10132613145220
1151271732886
122184ba5a370
13c67539aaca
1465c056d99a
1536b248db80
hex1ee05c0284

132613145220 has 96 divisors (see below), whose sum is σ = 381641291136. Its totient is φ = 34381670400.

The previous prime is 132613145191. The next prime is 132613145239. The reversal of 132613145220 is 22541316231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2999475 + ... + 3043365.

It is an arithmetic number, because the mean of its divisors is an integer number (3975430116).

Almost surely, 2132613145220 is an apocalyptic number.

132613145220 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 132613145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190820645568).

132613145220 is an abundant number, since it is smaller than the sum of its proper divisors (249028145916).

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

132613145220 is a wasteful number, since it uses less digits than its factorization.

132613145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45301 (or 45299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 132613145220 in words is "one hundred thirty-two billion, six hundred thirteen million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1361 2220 2722 4083 5444 6805 8166 13610 16332 20415 27220 40830 43891 50357 81660 87782 100714 131673 151071 175564 201428 219455 251785 263346 302142 438910 503570 526692 604284 658365 755355 877820 1007140 1316730 1510710 1623967 2633460 3021420 3247934 4871901 6495868 8119835 9743802 16239670 19487604 24359505 32479340 48719010 59735651 97438020 119471302 179206953 238942604 298678255 358413906 597356510 716827812 896034765 1194713020 1792069530 2210219087 3584139060 4420438174 6630657261 8840876348 11051095435 13261314522 22102190870 26522629044 33153286305 44204381740 66306572610 132613145220