132210240 has 112 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 34385920.

The previous prime is 132210181. The next prime is 132210263. The reversal of 132210240 is 42012231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37681 + ... + 41039.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^132210240 is an apocalyptic number.

132210240 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 132210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

132210240 is an abundant number, since it is smaller than the sum of its proper divisors (297923520).

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

132210240 is a wasteful number, since it uses less digits than its factorization.

132210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132210240 is about 11498.2711743983. The cubic root of 132210240 is about 509.4345135527.

Adding to 132210240 its reverse (42012231), we get a palindrome (174222471).

It can be divided in two parts, 13 and 2210240, that added together give a triangular number (2210253 = T₂₁₀₂).

The spelling of 132210240 in words is "one hundred thirty-two million, two hundred ten thousand, two hundred forty".