1305136206 has 128 divisors (see below), whose sum is σ = 3368977920. Its totient is φ = 370137600.

The previous prime is 1305136199. The next prime is 1305136211. The reversal of 1305136206 is 6026315031.

1305136206 is a `hidden beast` number, since 1 + 30 + 5 + 1 + 3 + 620 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1305136206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3099876 + ... + 3100296.

It is an arithmetic number, because the mean of its divisors is an integer number (26320140).

Almost surely, 2^1305136206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305136206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684488960).

1305136206 is an abundant number, since it is smaller than the sum of its proper divisors (2063841714).

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

1305136206 is a wasteful number, since it uses less digits than its factorization.

1305136206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1305136206 is about 36126.6689026265. The cubic root of 1305136206 is about 1092.8283323871.

The spelling of 1305136206 in words is "one billion, three hundred five million, one hundred thirty-six thousand, two hundred six".