13530900 has 144 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3294720.

The previous prime is 13530893. The next prime is 13530919. The reversal of 13530900 is 903531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255274 + ... + 255326.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^13530900 is an apocalyptic number.

13530900 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 13530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

13530900 is an abundant number, since it is smaller than the sum of its proper divisors (29216364).

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

13530900 is a wasteful number, since it uses less digits than its factorization.

13530900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 13530900 is about 3678.4371681463. The cubic root of 13530900 is about 238.2916885958.

The spelling of 13530900 in words is "thirteen million, five hundred thirty thousand, nine hundred".