1310144000 has 160 divisors (see below), whose sum is σ = 3565834272. Its totient is φ = 476160000.

The previous prime is 1310143987. The next prime is 1310144039. The reversal of 1310144000 is 4410131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 703070 + ... + 704930.

Almost surely, 2^1310144000 is an apocalyptic number.

1310144000 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 1310144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782917136).

1310144000 is an abundant number, since it is smaller than the sum of its proper divisors (2255690272).

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

1310144000 is an equidigital number, since it uses as much as digits as its factorization.

1310144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1879 counting only the distinct ones).

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

The square root of 1310144000 is about 36195.9113713137. The cubic root of 1310144000 is about 1094.2242721394.

Adding to 1310144000 its reverse (4410131), we get a palindrome (1314554131).

The spelling of 1310144000 in words is "one billion, three hundred ten million, one hundred forty-four thousand".