132607200 has 144 divisors (see below), whose sum is σ = 470969856. Its totient is φ = 32140800.

The previous prime is 132607199. The next prime is 132607217. The reversal of 132607200 is 2706231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23889 + ... + 28911.

It is an arithmetic number, because the mean of its divisors is an integer number (3270624).

Almost surely, 2^132607200 is an apocalyptic number.

132607200 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 132607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235484928).

132607200 is an abundant number, since it is smaller than the sum of its proper divisors (338362656).

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

132607200 is a wasteful number, since it uses less digits than its factorization.

132607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132607200 is about 11515.5199622075. The cubic root of 132607200 is about 509.9438615639.

The spelling of 132607200 in words is "one hundred thirty-two million, six hundred seven thousand, two hundred".