132559200 has 432 divisors, whose sum is σ = 535746960. Its totient is φ = 31518720.

The previous prime is 132559187. The next prime is 132559213. The reversal of 132559200 is 2955231.

It is an interprime number because it is at equal distance from previous prime (132559187) and next prime (132559213).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6976791 + ... + 6976809.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 2^132559200 is an apocalyptic number.

132559200 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 132559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267873480).

132559200 is an abundant number, since it is smaller than the sum of its proper divisors (403187760).

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

132559200 is a wasteful number, since it uses less digits than its factorization.

132559200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 132559200 is about 11513.4356297328. The cubic root of 132559200 is about 509.8823257919.

The spelling of 132559200 in words is "one hundred thirty-two million, five hundred fifty-nine thousand, two hundred".