132840 has 80 divisors (see below), whose sum is σ = 457380. Its totient is φ = 34560.

The previous prime is 132833. The next prime is 132851. The reversal of 132840 is 48231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 15876 = 342^2 + 126^2 .

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

132840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3220 + ... + 3260.

2¹³²⁸⁴⁰ is an apocalyptic number.

132840 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 132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228690).

132840 is an abundant number, since it is smaller than the sum of its proper divisors (324540).

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

132840 is a wasteful number, since it uses less digits than its factorization.

132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132840 is about 364.4722211637. The cubic root of 132840 is about 51.0242099589.

The spelling of 132840 in words is "one hundred thirty-two thousand, eight hundred forty".