132787200 has 528 divisors, whose sum is σ = 568574720. Its totient is φ = 26542080.

The previous prime is 132787183. The next prime is 132787217. The reversal of 132787200 is 2787231.

It is an interprime number because it is at equal distance from previous prime (132787183) and next prime (132787217).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 6988791 + ... + 6988809.

Almost surely, 2^132787200 is an apocalyptic number.

132787200 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 132787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284287360).

132787200 is an abundant number, since it is smaller than the sum of its proper divisors (435787520).

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

132787200 is a wasteful number, since it uses less digits than its factorization.

132787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 132787200 is about 11523.3328512197. The cubic root of 132787200 is about 510.1744885453.

The spelling of 132787200 in words is "one hundred thirty-two million, seven hundred eighty-seven thousand, two hundred".