1318734144 has 336 divisors, whose sum is σ = 4711557760. Its totient is φ = 343388160.

The previous prime is 1318734143. The next prime is 1318734169. The reversal of 1318734144 is 4414378131.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1318734099 and 1318734108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318734143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7285734 + ... + 7285914.

Almost surely, 2^1318734144 is an apocalyptic number.

1318734144 is a gapful number since it is divisible by the number (14) 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 1318734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355778880).

1318734144 is an abundant number, since it is smaller than the sum of its proper divisors (3392823616).

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

1318734144 is a wasteful number, since it uses less digits than its factorization.

1318734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1318734144 is about 36314.3793007673. The cubic root of 1318734144 is about 1096.6105430187.

The spelling of 1318734144 in words is "one billion, three hundred eighteen million, seven hundred thirty-four thousand, one hundred forty-four".