132927200 has 108 divisors (see below), whose sum is σ = 377600832. Its totient is φ = 45561600.

The previous prime is 132927187. The next prime is 132927209. The reversal of 132927200 is 2729231.

It is a self number, because there is not a number n which added to its sum of digits gives 132927200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132927209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37505 + ... + 40895.

It is an arithmetic number, because the mean of its divisors is an integer number (3496304).

Almost surely, 2^132927200 is an apocalyptic number.

132927200 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 132927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188800416).

132927200 is an abundant number, since it is smaller than the sum of its proper divisors (244673632).

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

132927200 is a wasteful number, since it uses less digits than its factorization.

132927200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 132927200 is about 11529.4058823514. The cubic root of 132927200 is about 510.3537210359.

The spelling of 132927200 in words is "one hundred thirty-two million, nine hundred twenty-seven thousand, two hundred".