132546240 has 336 divisors, whose sum is σ = 505663200. Its totient is φ = 32643072.

The previous prime is 132546233. The next prime is 132546241. The reversal of 132546240 is 42645231.

132546240 is a `hidden beast` number, since 1 + 32 + 5 + 4 + 624 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132546241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4570546 + ... + 4570574.

It is an arithmetic number, because the mean of its divisors is an integer number (1504950).

Almost surely, 2^132546240 is an apocalyptic number.

132546240 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 132546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252831600).

132546240 is an abundant number, since it is smaller than the sum of its proper divisors (373116960).

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

132546240 is a wasteful number, since it uses less digits than its factorization.

132546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 132546240 is about 11512.8727952670. The cubic root of 132546240 is about 509.8657085866.

The spelling of 132546240 in words is "one hundred thirty-two million, five hundred forty-six thousand, two hundred forty".