1285204144 has 120 divisors (see below), whose sum is σ = 2973224880. Its totient is φ = 536481792.

The previous prime is 1285204103. The next prime is 1285204171. The reversal of 1285204144 is 4414025821.

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, 7884607 + ... + 7884769.

It is an arithmetic number, because the mean of its divisors is an integer number (24776874).

Almost surely, 2^1285204144 is an apocalyptic number.

1285204144 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 1285204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486612440).

1285204144 is an abundant number, since it is smaller than the sum of its proper divisors (1688020736).

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

1285204144 is a wasteful number, since it uses less digits than its factorization.

1285204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 1285204144 is about 35849.7439879283. The cubic root of 1285204144 is about 1087.2365381773.

Adding to 1285204144 its reverse (4414025821), we get a palindrome (5699229965).

The spelling of 1285204144 in words is "one billion, two hundred eighty-five million, two hundred four thousand, one hundred forty-four".