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132120 = 23325367
BaseRepresentation
bin100000010000011000
320201020100
4200100120
513211440
62455400
71060122
oct402030
9221210
10132120
119029a
1264560
13481a1
1436212
1529230
hex20418

132120 has 48 divisors (see below), whose sum is σ = 430560. Its totient is φ = 35136.

The previous prime is 132113. The next prime is 132137. The reversal of 132120 is 21231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (8970).

2132120 is an apocalyptic number.

132120 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 132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215280).

132120 is an abundant number, since it is smaller than the sum of its proper divisors (298440).

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

132120 is a wasteful number, since it uses less digits than its factorization.

132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132120 is about 363.4831495407. The cubic root of 132120 is about 50.9318582458.

Adding to 132120 its reverse (21231), we get a palindrome (153351).

Subtracting from 132120 its reverse (21231), we obtain a square (110889 = 3332).

It can be divided in two parts, 132 and 120, that added together give a palindrome (252).

The spelling of 132120 in words is "one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 734 1101 1468 1835 2202 2936 3303 3670 4404 5505 6606 7340 8808 11010 13212 14680 16515 22020 26424 33030 44040 66060 132120