13521200 has 120 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 4204800.

The previous prime is 13521197. The next prime is 13521253. The reversal of 13521200 is 212531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30581 + ... + 31019.

It is an arithmetic number, because the mean of its divisors is an integer number (338272).

Almost surely, 2^13521200 is an apocalyptic number.

13521200 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 13521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

13521200 is an abundant number, since it is smaller than the sum of its proper divisors (27071440).

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

13521200 is a wasteful number, since it uses less digits than its factorization.

13521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13521200 is about 3677.1184370373. The cubic root of 13521200 is about 238.2347329871.

Adding to 13521200 its reverse (212531), we get a palindrome (13733731).

It can be divided in two parts, 1352 and 1200, that added together give a palindrome (2552).

The spelling of 13521200 in words is "thirteen million, five hundred twenty-one thousand, two hundred".