13182000 has 160 divisors (see below), whose sum is σ = 46038720. Its totient is φ = 3244800.

The previous prime is 13181983. The next prime is 13182007. The reversal of 13182000 is 28131.

It is a happy number.

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (13182007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013994 + ... + 1014006.

It is an arithmetic number, because the mean of its divisors is an integer number (287742).

Almost surely, 2^13182000 is an apocalyptic number.

13182000 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 13182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

13182000 is an abundant number, since it is smaller than the sum of its proper divisors (32856720).

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

13182000 is an equidigital number, since it uses as much as digits as its factorization.

13182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13182000 is about 3630.7024113799. The cubic root of 13182000 is about 236.2256770682.

13182000 divided by its product of nonzero digits (48) gives a cube (274625 = 65³).

The spelling of 13182000 in words is "thirteen million, one hundred eighty-two thousand".