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132134220 = 223351791367
BaseRepresentation
bin1111110000000…
…11010101001100
3100012122010002000
413320003111030
5232311243340
621040032300
73163056651
oct770032514
9305563060
10132134220
116864a439
1238302690
13214b503a
1413797c28
15b900d30
hex7e0354c

132134220 has 96 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 35013312.

The previous prime is 132134213. The next prime is 132134221. The reversal of 132134220 is 22431231.

132134220 is a `hidden beast` number, since 1 + 321 + 342 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132134193 and 132134202.

It is not an unprimeable number, because it can be changed into a prime (132134221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95977 + ... + 97343.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2132134220 is an apocalyptic number.

132134220 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 132134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

132134220 is an abundant number, since it is smaller than the sum of its proper divisors (281548980).

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

132134220 is a wasteful number, since it uses less digits than its factorization.

132134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132134220 is about 11494.9649847227. The cubic root of 132134220 is about 509.3368543580.

Adding to 132134220 its reverse (22431231), we get a palindrome (154565451).

The spelling of 132134220 in words is "one hundred thirty-two million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1367 1611 1790 2148 2685 2734 3222 3580 4101 4833 5370 5468 6444 6835 8055 8202 9666 10740 12303 13670 16110 16404 19332 20505 24165 24606 27340 32220 36909 41010 48330 49212 61515 73818 82020 96660 123030 147636 184545 244693 246060 369090 489386 734079 738180 978772 1223465 1468158 2202237 2446930 2936316 3670395 4404474 4893860 6606711 7340790 8808948 11011185 13213422 14681580 22022370 26426844 33033555 44044740 66067110 132134220