13152000 has 144 divisors (see below), whose sum is σ = 44003232. Its totient is φ = 3481600.

The previous prime is 13151989. The next prime is 13152011. The reversal of 13152000 is 25131.

It is an interprime number because it is at equal distance from previous prime (13151989) and next prime (13152011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95932 + ... + 96068.

It is an arithmetic number, because the mean of its divisors is an integer number (305578).

Almost surely, 2^13152000 is an apocalyptic number.

13152000 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 13152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22001616).

13152000 is an abundant number, since it is smaller than the sum of its proper divisors (30851232).

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

13152000 is an equidigital number, since it uses as much as digits as its factorization.

13152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13152000 is about 3626.5686261258. The cubic root of 13152000 is about 236.0463377364.

Adding to 13152000 its reverse (25131), we get a palindrome (13177131).

The spelling of 13152000 in words is "thirteen million, one hundred fifty-two thousand".