13151200 has 72 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 4945920.

The previous prime is 13151197. The next prime is 13151227. The reversal of 13151200 is 215131.

It is a super-2 number, since 2×13151200² = 345908122880000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13117 + ... + 14083.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^13151200 is an apocalyptic number.

13151200 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 13151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

13151200 is an abundant number, since it is smaller than the sum of its proper divisors (20877872).

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

13151200 is a wasteful number, since it uses less digits than its factorization.

13151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13151200 is about 3626.4583273492. The cubic root of 13151200 is about 236.0415516227.

Adding to 13151200 its reverse (215131), we get a palindrome (13366331).

The spelling of 13151200 in words is "thirteen million, one hundred fifty-one thousand, two hundred".