132132000 has 576 divisors, whose sum is σ = 585591552. Its totient is φ = 25344000.

The previous prime is 132131983. The next prime is 132132017. The reversal of 132132000 is 231231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132131983) and next prime (132132017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10163994 + ... + 10164006.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^132132000 is an apocalyptic number.

132132000 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 132132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

132132000 is an abundant number, since it is smaller than the sum of its proper divisors (453459552).

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

132132000 is a wasteful number, since it uses less digits than its factorization.

132132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132132000 is about 11494.8684202996. The cubic root of 132132000 is about 509.3340018692.

Adding to 132132000 its reverse (231231), we get a palindrome (132363231).

The spelling of 132132000 in words is "one hundred thirty-two million, one hundred thirty-two thousand".