1283813136 has 60 divisors (see below), whose sum is σ = 3596412300. Its totient is φ = 427518720.

The previous prime is 1283813119. The next prime is 1283813171. The reversal of 1283813136 is 6313183821.

It can be written as a sum of positive squares in 2 ways, for example, as 1128960000 + 154853136 = 33600^2 + 12444^2 .

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 self number, because there is not a number n which added to its sum of digits gives 1283813136.

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 11 ways as a sum of consecutive naturals, for example, 166290 + ... + 173838.

It is an arithmetic number, because the mean of its divisors is an integer number (59940205).

Almost surely, 2^1283813136 is an apocalyptic number.

1283813136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1283813136 is an abundant number, since it is smaller than the sum of its proper divisors (2312599164).

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

1283813136 is a wasteful number, since it uses less digits than its factorization.

1283813136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8735 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1283813136 is about 35830.3382066092. The cubic root of 1283813136 is about 1086.8441489792.

Adding to 1283813136 its reverse (6313183821), we get a palindrome (7596996957).

The spelling of 1283813136 in words is "one billion, two hundred eighty-three million, eight hundred thirteen thousand, one hundred thirty-six".