132816240 has 160 divisors (see below), whose sum is σ = 484522560. Its totient is φ = 33325056.

The previous prime is 132816227. The next prime is 132816247. The reversal of 132816240 is 42618231.

132816240 is a `hidden beast` number, since 1 + 32 + 8 + 1 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132816247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34912 + ... + 38528.

It is an arithmetic number, because the mean of its divisors is an integer number (3028266).

Almost surely, 2^132816240 is an apocalyptic number.

132816240 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 132816240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242261280).

132816240 is an abundant number, since it is smaller than the sum of its proper divisors (351706320).

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

132816240 is a wasteful number, since it uses less digits than its factorization.

132816240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132816240 is about 11524.5928344562. The cubic root of 132816240 is about 510.2116768367.

The spelling of 132816240 in words is "one hundred thirty-two million, eight hundred sixteen thousand, two hundred forty".