13128400 has 60 divisors (see below), whose sum is σ = 32935392. Its totient is φ = 5019520.

The previous prime is 13128347. The next prime is 13128413. The reversal of 13128400 is 482131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8487 + ... + 9913.

Almost surely, 2^13128400 is an apocalyptic number.

13128400 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 13128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467696).

13128400 is an abundant number, since it is smaller than the sum of its proper divisors (19806992).

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

13128400 is a wasteful number, since it uses less digits than its factorization.

13128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 13128400 is about 3623.3134007425. The cubic root of 13128400 is about 235.9050657138.

The spelling of 13128400 in words is "thirteen million, one hundred twenty-eight thousand, four hundred".