132562080 has 144 divisors (see below), whose sum is σ = 517031424. Its totient is φ = 30297600.

The previous prime is 132562051. The next prime is 132562081. The reversal of 132562080 is 80265231.

132562080 is a `hidden beast` number, since 1 + 32 + 5 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (132562081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3505 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (3590496).

Almost surely, 2^132562080 is an apocalyptic number.

132562080 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 132562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258515712).

132562080 is an abundant number, since it is smaller than the sum of its proper divisors (384469344).

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

132562080 is a wasteful number, since it uses less digits than its factorization.

132562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13179 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132562080 is about 11513.5607003220. The cubic root of 132562080 is about 509.8860183570.

The spelling of 132562080 in words is "one hundred thirty-two million, five hundred sixty-two thousand, eighty".