132504000 has 112 divisors (see below), whose sum is σ = 437607456. Its totient is φ = 35328000.

The previous prime is 132503983. The next prime is 132504023. The reversal of 132504000 is 405231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21240 + ... + 26760.

Almost surely, 2^132504000 is an apocalyptic number.

132504000 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 132504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218803728).

132504000 is an abundant number, since it is smaller than the sum of its proper divisors (305103456).

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

132504000 is an equidigital number, since it uses as much as digits as its factorization.

132504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 132504000 is about 11511.0381808072. The cubic root of 132504000 is about 509.8115412869.

Adding to 132504000 its reverse (405231), we get a palindrome (132909231).

The spelling of 132504000 in words is "one hundred thirty-two million, five hundred four thousand".