132582240 has 216 divisors, whose sum is σ = 526584240. Its totient is φ = 30288384.

The previous prime is 132582239. The next prime is 132582277. The reversal of 132582240 is 42285231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69621 + ... + 71499.

It is an arithmetic number, because the mean of its divisors is an integer number (2437890).

Almost surely, 2^132582240 is an apocalyptic number.

132582240 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 132582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263292120).

132582240 is an abundant number, since it is smaller than the sum of its proper divisors (394002000).

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

132582240 is a wasteful number, since it uses less digits than its factorization.

132582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132582240 is about 11514.4361564082. The cubic root of 132582240 is about 509.9118648160.

The spelling of 132582240 in words is "one hundred thirty-two million, five hundred eighty-two thousand, two hundred forty".