13681182000 has 160 divisors (see below), whose sum is σ = 46026339840. Its totient is φ = 3489657600.

The previous prime is 13681181999. The next prime is 13681182017. The reversal of 13681182000 is 28118631.

13681182000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88431 + ... + 187569.

It is an arithmetic number, because the mean of its divisors is an integer number (287664624).

Almost surely, 2^13681182000 is an apocalyptic number.

13681182000 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 13681182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23013169920).

13681182000 is an abundant number, since it is smaller than the sum of its proper divisors (32345157840).

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

13681182000 is a wasteful number, since it uses less digits than its factorization.

13681182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99188 (or 99172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 13681182000 in words is "thirteen billion, six hundred eighty-one million, one hundred eighty-two thousand".