132024152400 has 480 divisors, whose sum is σ = 509991168000. Its totient is φ = 28520294400.

The previous prime is 132024152399. The next prime is 132024152417. The reversal of 132024152400 is 4251420231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95599710 + ... + 95601090.

It is an arithmetic number, because the mean of its divisors is an integer number (1062481600).

Almost surely, 2^132024152400 is an apocalyptic number.

132024152400 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 132024152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254995584000).

132024152400 is an abundant number, since it is smaller than the sum of its proper divisors (377967015600).

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

132024152400 is a wasteful number, since it uses less digits than its factorization.

132024152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 132024152400 its reverse (4251420231), we get a palindrome (136275572631).

The spelling of 132024152400 in words is "one hundred thirty-two billion, twenty-four million, one hundred fifty-two thousand, four hundred".