132052800 has 336 divisors, whose sum is σ = 492093504. Its totient is φ = 30720000.

The previous prime is 132052769. The next prime is 132052807. The reversal of 132052800 is 8250231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132052807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2164770 + ... + 2164830.

It is an arithmetic number, because the mean of its divisors is an integer number (1464564).

Almost surely, 2^132052800 is an apocalyptic number.

132052800 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 132052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246046752).

132052800 is an abundant number, since it is smaller than the sum of its proper divisors (360040704).

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

132052800 is a wasteful number, since it uses less digits than its factorization.

132052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 132052800 is about 11491.4228883981. The cubic root of 132052800 is about 509.2322164944.

The spelling of 132052800 in words is "one hundred thirty-two million, fifty-two thousand, eight hundred".