132186240 has 192 divisors, whose sum is σ = 466142040. Its totient is φ = 34504704.

The previous prime is 132186239. The next prime is 132186253. The reversal of 132186240 is 42681231.

132186240 is a `hidden beast` number, since 1 + 32 + 1 + 8 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93547584 + 38638656 = 9672^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305064 + ... + 305496.

Almost surely, 2^132186240 is an apocalyptic number.

132186240 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 132186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233071020).

132186240 is an abundant number, since it is smaller than the sum of its proper divisors (333955800).

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

132186240 is a wasteful number, since it uses less digits than its factorization.

132186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

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

The square root of 132186240 is about 11497.2274918782. The cubic root of 132186240 is about 509.4036859653.

The spelling of 132186240 in words is "one hundred thirty-two million, one hundred eighty-six thousand, two hundred forty".