13153200 has 120 divisors (see below), whose sum is σ = 42945168. Its totient is φ = 3440640.

The previous prime is 13153183. The next prime is 13153229. The reversal of 13153200 is 235131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 13153200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116344 + ... + 116456.

Almost surely, 2^13153200 is an apocalyptic number.

13153200 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 13153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472584).

13153200 is an abundant number, since it is smaller than the sum of its proper divisors (29791968).

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

13153200 is a wasteful number, since it uses less digits than its factorization.

13153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

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

The square root of 13153200 is about 3626.7340680011. The cubic root of 13153200 is about 236.0535165429.

Adding to 13153200 its reverse (235131), we get a palindrome (13388331).

The spelling of 13153200 in words is "thirteen million, one hundred fifty-three thousand, two hundred".