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132144220 = 225134191213
BaseRepresentation
bin1111110000001…
…01110001011100
3100012122121210101
413320011301130
5232312103340
621040150444
73163131055
oct770056134
9305577711
10132144220
11686569aa
1238308424
13214b9760
141379b72c
15b903c9a
hex7e05c5c

132144220 has 48 divisors (see below), whose sum is σ = 299809440. Its totient is φ = 48635136.

The previous prime is 132144209. The next prime is 132144253. The reversal of 132144220 is 22441231.

It is a congruent number.

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, 108334 + ... + 109546.

It is an arithmetic number, because the mean of its divisors is an integer number (6246030).

Almost surely, 2132144220 is an apocalyptic number.

132144220 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 132144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149904720).

132144220 is an abundant number, since it is smaller than the sum of its proper divisors (167665220).

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

132144220 is a wasteful number, since it uses less digits than its factorization.

132144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 132144220 is about 11495.3999495450. The cubic root of 132144220 is about 509.3497030106.

Adding to 132144220 its reverse (22441231), we get a palindrome (154585451).

The spelling of 132144220 in words is "one hundred thirty-two million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 419 838 1213 1676 2095 2426 4190 4852 5447 6065 8380 10894 12130 15769 21788 24260 27235 31538 54470 63076 78845 108940 157690 315380 508247 1016494 2032988 2541235 5082470 6607211 10164940 13214422 26428844 33036055 66072110 132144220