1382112144 has 120 divisors (see below), whose sum is σ = 4439834880. Its totient is φ = 393168384.

The previous prime is 1382112119. The next prime is 1382112157. The reversal of 1382112144 is 4412112831.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238044 + ... + 243780.

It is an arithmetic number, because the mean of its divisors is an integer number (36998624).

Almost surely, 2^1382112144 is an apocalyptic number.

1382112144 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 1382112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219917440).

1382112144 is an abundant number, since it is smaller than the sum of its proper divisors (3057722736).

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

1382112144 is a wasteful number, since it uses less digits than its factorization.

1382112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5988 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1382112144 is about 37176.7688751995. The cubic root of 1382112144 is about 1113.9039935656.

Adding to 1382112144 its reverse (4412112831), we get a palindrome (5794224975).

It can be divided in two parts, 1382 and 112144, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 1382112144 in words is "one billion, three hundred eighty-two million, one hundred twelve thousand, one hundred forty-four".