1205305136 has 60 divisors (see below), whose sum is σ = 2779801992. Its totient is φ = 504532224.

The previous prime is 1205305099. The next prime is 1205305139. The reversal of 1205305136 is 6315035021.

It is not an unprimeable number, because it can be changed into a prime (1205305139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15836 + ... + 51588.

Almost surely, 2^1205305136 is an apocalyptic number.

1205305136 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 1205305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389900996).

1205305136 is an abundant number, since it is smaller than the sum of its proper divisors (1574496856).

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

1205305136 is a wasteful number, since it uses less digits than its factorization.

1205305136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35818 (or 35805 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 1205305136 is about 34717.5047490455. The cubic root of 1205305136 is about 1064.2222527407. Note that the first 4 decimals are identical.

The spelling of 1205305136 in words is "one billion, two hundred five million, three hundred five thousand, one hundred thirty-six".