13788000 has 144 divisors (see below), whose sum is σ = 49061376. Its totient is φ = 3667200.

The previous prime is 13787999. The next prime is 13788011. The reversal of 13788000 is 88731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35809 + ... + 36191.

It is an arithmetic number, because the mean of its divisors is an integer number (340704).

Almost surely, 2^13788000 is an apocalyptic number.

13788000 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 13788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688).

13788000 is an abundant number, since it is smaller than the sum of its proper divisors (35273376).

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

13788000 is a wasteful number, since it uses less digits than its factorization.

13788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 13788000 is about 3713.2196272238. The cubic root of 13788000 is about 239.7914855597.

The spelling of 13788000 in words is "thirteen million, seven hundred eighty-eight thousand".