1142083008 has 336 divisors, whose sum is σ = 3851452800. Its totient is φ = 319887360.

The previous prime is 1142082983. The next prime is 1142083039. The reversal of 1142083008 is 8003802411.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6380263 + ... + 6380441.

Almost surely, 2^1142083008 is an apocalyptic number.

1142083008 is a gapful number since it is divisible by the number (18) 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 1142083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925726400).

1142083008 is an abundant number, since it is smaller than the sum of its proper divisors (2709369792).

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

1142083008 is a wasteful number, since it uses less digits than its factorization.

1142083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

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

The square root of 1142083008 is about 33794.7186406397. The cubic root of 1142083008 is about 1045.2797974862.

Adding to 1142083008 its reverse (8003802411), we get a palindrome (9145885419).

The spelling of 1142083008 in words is "one billion, one hundred forty-two million, eighty-three thousand, eight".