132544000 has 160 divisors (see below), whose sum is σ = 351093600. Its totient is φ = 49766400.

The previous prime is 132543997. The next prime is 132544039. The reversal of 132544000 is 445231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (19).

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 15 ways as a sum of consecutive naturals, for example, 1215946 + ... + 1216054.

It is an arithmetic number, because the mean of its divisors is an integer number (2194335).

Almost surely, 2^132544000 is an apocalyptic number.

132544000 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 132544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175546800).

132544000 is an abundant number, since it is smaller than the sum of its proper divisors (218549600).

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

132544000 is an equidigital number, since it uses as much as digits as its factorization.

132544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 132544000 is about 11512.7755124470. The cubic root of 132544000 is about 509.8628363673.

Adding to 132544000 its reverse (445231), we get a palindrome (132989231).

The spelling of 132544000 in words is "one hundred thirty-two million, five hundred forty-four thousand".