13802000 has 80 divisors (see below), whose sum is σ = 34200192. Its totient is φ = 5385600.

The previous prime is 13801993. The next prime is 13802003. The reversal of 13802000 is 20831.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13802003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133949 + ... + 134051.

Almost surely, 2^13802000 is an apocalyptic number.

13802000 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 13802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100096).

13802000 is an abundant number, since it is smaller than the sum of its proper divisors (20398192).

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

13802000 is a wasteful number, since it uses less digits than its factorization.

13802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13802000 is about 3715.1043053998. The cubic root of 13802000 is about 239.8726175877.

Adding to 13802000 its reverse (20831), we get a palindrome (13822831).

The spelling of 13802000 in words is "thirteen million, eight hundred two thousand".