1350342144 has 320 divisors, whose sum is σ = 4336865280. Its totient is φ = 413614080.

The previous prime is 1350342143. The next prime is 1350342157. The reversal of 1350342144 is 4412430531.

It is a happy number.

1350342144 is a `hidden beast` number, since 13 + 503 + 4 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350342143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9856444 + ... + 9856580.

It is an arithmetic number, because the mean of its divisors is an integer number (13552704).

Almost surely, 2^1350342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168432640).

1350342144 is an abundant number, since it is smaller than the sum of its proper divisors (2986523136).

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

1350342144 is a wasteful number, since it uses less digits than its factorization.

1350342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1350342144 is about 36747.0018368846. The cubic root of 1350342144 is about 1105.3028097998.

Adding to 1350342144 its reverse (4412430531), we get a palindrome (5762772675).

The spelling of 1350342144 in words is "one billion, three hundred fifty million, three hundred forty-two thousand, one hundred forty-four".