132130021304400 has 960 divisors, whose sum is σ = 512629689600000. Its totient is φ = 28418202501120.

The previous prime is 132130021304383. The next prime is 132130021304441. The reversal of 132130021304400 is 4403120031231.

It is a happy number.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29968249396 + ... + 29968253804.

It is an arithmetic number, because the mean of its divisors is an integer number (533989260000).

Almost surely, 2^{132130021304400} is an apocalyptic number.

132130021304400 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 132130021304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256314844800000).

132130021304400 is an abundant number, since it is smaller than the sum of its proper divisors (380499668295600).

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

132130021304400 is a wasteful number, since it uses less digits than its factorization.

132130021304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132130021304400 its reverse (4403120031231), we get a palindrome (136533141335631).

The spelling of 132130021304400 in words is "one hundred thirty-two trillion, one hundred thirty billion, twenty-one million, three hundred four thousand, four hundred".