132802560 has 288 divisors, whose sum is σ = 505945440. Its totient is φ = 31948800.

The previous prime is 132802559. The next prime is 132802597. The reversal of 132802560 is 65208231.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013695 + ... + 1013825.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^132802560 is an apocalyptic number.

132802560 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 132802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252972720).

132802560 is an abundant number, since it is smaller than the sum of its proper divisors (373142880).

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

132802560 is a wasteful number, since it uses less digits than its factorization.

132802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

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

The square root of 132802560 is about 11523.9993057966. Note that the first 3 decimals coincide. The cubic root of 132802560 is about 510.1941590608.

The spelling of 132802560 in words is "one hundred thirty-two million, eight hundred two thousand, five hundred sixty".