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132241152 = 283409421
BaseRepresentation
bin1111110000111…
…01011100000000
3100012211112202110
413320131130000
5232323204102
621042215320
73164013501
oct770353400
9305745673
10132241152
116871280a
1238354540
1321521904
14137c4ba8
15b92286c
hex7e1d700

132241152 has 72 divisors (see below), whose sum is σ = 353652880. Its totient is φ = 43868160.

The previous prime is 132241141. The next prime is 132241157. The reversal of 132241152 is 251142231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132241157) 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 7 ways as a sum of consecutive naturals, for example, 313902 + ... + 314322.

Almost surely, 2132241152 is an apocalyptic number.

132241152 is a gapful number since it is divisible by the number (12) 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 132241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176826440).

132241152 is an abundant number, since it is smaller than the sum of its proper divisors (221411728).

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

132241152 is an equidigital number, since it uses as much as digits as its factorization.

132241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 132241152 is about 11499.6152979132. The cubic root of 132241152 is about 509.4742139888.

Adding to 132241152 its reverse (251142231), we get a palindrome (383383383).

The spelling of 132241152 in words is "one hundred thirty-two million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 421 768 818 842 1227 1263 1636 1684 2454 2526 3272 3368 4908 5052 6544 6736 9816 10104 13088 13472 19632 20208 26176 26944 39264 40416 52352 53888 78528 80832 104704 107776 157056 161664 172189 314112 323328 344378 516567 688756 1033134 1377512 2066268 2755024 4132536 5510048 8265072 11020096 16530144 22040192 33060288 44080384 66120576 132241152