132004000 has 96 divisors (see below), whose sum is σ = 330260112. Its totient is φ = 51840000.

The previous prime is 132003979. The next prime is 132004007. The reversal of 132004000 is 400231.

It can be written as a sum of positive squares in 8 ways, for example, as 3952144 + 128051856 = 1988^2 + 11316^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (132004007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243730 + ... + 244270.

Almost surely, 2^132004000 is an apocalyptic number.

132004000 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 132004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165130056).

132004000 is an abundant number, since it is smaller than the sum of its proper divisors (198256112).

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

132004000 is an equidigital number, since it uses as much as digits as its factorization.

132004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 132004000 is about 11489.2993694133. The cubic root of 132004000 is about 509.1694799881.

Adding to 132004000 its reverse (400231), we get a palindrome (132404231).

The spelling of 132004000 in words is "one hundred thirty-two million, four thousand".