1343144000 has 112 divisors (see below), whose sum is σ = 3628924416. Its totient is φ = 488384000.

The previous prime is 1343143979. The next prime is 1343144039. The reversal of 1343144000 is 4413431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80369 + ... + 95631.

Almost surely, 2^1343144000 is an apocalyptic number.

1343144000 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 1343144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814462208).

1343144000 is an abundant number, since it is smaller than the sum of its proper divisors (2285780416).

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

1343144000 is a wasteful number, since it uses less digits than its factorization.

1343144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15301 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1343144000 is about 36648.9290430157. The cubic root of 1343144000 is about 1103.3353312020.

Adding to 1343144000 its reverse (4413431), we get a palindrome (1347557431).

The spelling of 1343144000 in words is "one billion, three hundred forty-three million, one hundred forty-four thousand".