132283200 has 336 divisors, whose sum is σ = 516030464. Its totient is φ = 29030400.

The previous prime is 132283199. The next prime is 132283219. The reversal of 132283200 is 2382231.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041537 + ... + 1041663.

Almost surely, 2^132283200 is an apocalyptic number.

132283200 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 132283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258015232).

132283200 is an abundant number, since it is smaller than the sum of its proper divisors (383747264).

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

132283200 is a wasteful number, since it uses less digits than its factorization.

132283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132283200 is about 11501.4433876797. The cubic root of 132283200 is about 509.5282065151.

The spelling of 132283200 in words is "one hundred thirty-two million, two hundred eighty-three thousand, two hundred".