132552000 has 336 divisors, whose sum is σ = 543958272. Its totient is φ = 30182400.

The previous prime is 132551987. The next prime is 132552047. The reversal of 132552000 is 255231.

It is a happy number.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503869 + ... + 504131.

Almost surely, 2^132552000 is an apocalyptic number.

132552000 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 132552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271979136).

132552000 is an abundant number, since it is smaller than the sum of its proper divisors (411406272).

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

132552000 is a wasteful number, since it uses less digits than its factorization.

132552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 132552000 is about 11513.1229473154. The cubic root of 132552000 is about 509.8730941449.

The spelling of 132552000 in words is "one hundred thirty-two million, five hundred fifty-two thousand".