13144000 has 112 divisors (see below), whose sum is σ = 34235136. Its totient is φ = 4992000.

The previous prime is 13143997. The next prime is 13144007. The reversal of 13144000 is 44131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144007) 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, 247974 + ... + 248026.

Almost surely, 2^13144000 is an apocalyptic number.

13144000 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 13144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117568).

13144000 is an abundant number, since it is smaller than the sum of its proper divisors (21091136).

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

13144000 is an equidigital number, since it uses as much as digits as its factorization.

13144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13144000 is about 3625.4654873547. The cubic root of 13144000 is about 235.9984678633.

Adding to 13144000 its reverse (44131), we get a palindrome (13188131).

The spelling of 13144000 in words is "thirteen million, one hundred forty-four thousand".