13152300 has 72 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 3005760.

The previous prime is 13152299. The next prime is 13152323. The reversal of 13152300 is 325131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13152300.

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, 1032 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (604128).

Almost surely, 2^13152300 is an apocalyptic number.

13152300 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 13152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

13152300 is an abundant number, since it is smaller than the sum of its proper divisors (30344916).

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

13152300 is a wasteful number, since it uses less digits than its factorization.

13152300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13152300 is about 3626.6099873022. The cubic root of 13152300 is about 236.0481324789.

Adding to 13152300 its reverse (325131), we get a palindrome (13477431).

The spelling of 13152300 in words is "thirteen million, one hundred fifty-two thousand, three hundred".