1305145864 has 32 divisors (see below), whose sum is σ = 2697156000. Its totient is φ = 587128320.

The previous prime is 1305145861. The next prime is 1305145871. The reversal of 1305145864 is 4685415031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1305145861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67914 + ... + 84985.

It is an arithmetic number, because the mean of its divisors is an integer number (84286125).

Almost surely, 2^1305145864 is an apocalyptic number.

It is an amenable number.

1305145864 is an abundant number, since it is smaller than the sum of its proper divisors (1392010136).

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

1305145864 is a wasteful number, since it uses less digits than its factorization.

1305145864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153013 (or 153009 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 1305145864 is about 36126.8025709445. The cubic root of 1305145864 is about 1092.8310280214.

The spelling of 1305145864 in words is "one billion, three hundred five million, one hundred forty-five thousand, eight hundred sixty-four".