132548000 has 96 divisors (see below), whose sum is σ = 350859600. Its totient is φ = 48921600.

The previous prime is 132547999. The next prime is 132548021. The reversal of 132548000 is 845231.

It can be written as a sum of positive squares in 8 ways, for example, as 7376656 + 125171344 = 2716^2 + 11188^2 .

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, 50726 + ... + 53274.

Almost surely, 2^132548000 is an apocalyptic number.

132548000 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 132548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

132548000 is an abundant number, since it is smaller than the sum of its proper divisors (218311600).

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

132548000 is a wasteful number, since it uses less digits than its factorization.

132548000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 132548000 is about 11512.9492311918. The cubic root of 132548000 is about 509.8679653077.

The spelling of 132548000 in words is "one hundred thirty-two million, five hundred forty-eight thousand".