1305235140 has 96 divisors (see below), whose sum is σ = 4003292160. Its totient is φ = 315120000.

The previous prime is 1305235069. The next prime is 1305235147. The reversal of 1305235140 is 415325031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305235140.

It is not an unprimeable number, because it can be changed into a prime (1305235147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161721 + ... + 169599.

It is an arithmetic number, because the mean of its divisors is an integer number (41700960).

Almost surely, 2^1305235140 is an apocalyptic number.

1305235140 is a gapful number since it is divisible by the number (10) 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 1305235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001646080).

1305235140 is an abundant number, since it is smaller than the sum of its proper divisors (2698057020).

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

1305235140 is a wasteful number, since it uses less digits than its factorization.

1305235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1305235140 is about 36128.0381421411. The cubic root of 1305235140 is about 1092.8559451236.

The spelling of 1305235140 in words is "one billion, three hundred five million, two hundred thirty-five thousand, one hundred forty".