1305853136 has 160 divisors (see below), whose sum is σ = 3109920000. Its totient is φ = 530385408.

The previous prime is 1305853103. The next prime is 1305853163. The reversal of 1305853136 is 6313585031.

It is a junction number, because it is equal to n+sod(n) for n = 1305853096 and 1305853105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11980250 + ... + 11980358.

It is an arithmetic number, because the mean of its divisors is an integer number (19437000).

Almost surely, 2^1305853136 is an apocalyptic number.

1305853136 is a gapful number since it is divisible by the number (16) 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 1305853136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554960000).

1305853136 is an abundant number, since it is smaller than the sum of its proper divisors (1804066864).

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

1305853136 is a wasteful number, since it uses less digits than its factorization.

1305853136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 1305853136 is about 36136.5899885421. The cubic root of 1305853136 is about 1093.0283978406.

The spelling of 1305853136 in words is "one billion, three hundred five million, eight hundred fifty-three thousand, one hundred thirty-six".