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132180165120 = 293517210959
BaseRepresentation
bin111101100011010001…
…1010100001000000000
3110122011212022002221010
41323012203110020000
54131201110240440
6140420035400520
712356355602613
oct1730643241000
9418155262833
10132180165120
115106a291493
122174aa53140
13c60677cc73
14657cc6217a
153689463580
hex1ec68d4200

132180165120 has 80 divisors (see below), whose sum is σ = 422563489920. Its totient is φ = 35248041984.

The previous prime is 132180165049. The next prime is 132180165121. The reversal of 132180165120 is 21561081231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1321801651202 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132180165121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8597800 + ... + 8613159.

It is an arithmetic number, because the mean of its divisors is an integer number (5282043624).

Almost surely, 2132180165120 is an apocalyptic number.

132180165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132180165120 is an abundant number, since it is smaller than the sum of its proper divisors (290383324800).

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

132180165120 is an equidigital number, since it uses as much as digits as its factorization.

132180165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17210985 (or 17210969 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 132180165120 in words is "one hundred thirty-two billion, one hundred eighty million, one hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 17210959 34421918 51632877 68843836 86054795 103265754 137687672 172109590 206531508 258164385 275375344 344219180 413063016 516328770 550750688 688438360 826126032 1032657540 1101501376 1376876720 1652252064 2065315080 2203002752 2753753440 3304504128 4130630160 4406005504 5507506880 6609008256 8261260320 8812011008 11015013760 13218016512 16522520640 22030027520 26436033024 33045041280 44060055040 66090082560 132180165120