1305145632 has 288 divisors, whose sum is σ = 4227987456. Its totient is φ = 344977920.

The previous prime is 1305145631. The next prime is 1305145657. The reversal of 1305145632 is 2365415031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305145632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305145631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27769033 + ... + 27769079.

It is an arithmetic number, because the mean of its divisors is an integer number (14680512).

Almost surely, 2^1305145632 is an apocalyptic number.

1305145632 is a gapful number since it is divisible by the number (12) 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 1305145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113993728).

1305145632 is an abundant number, since it is smaller than the sum of its proper divisors (2922841824).

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

1305145632 is a wasteful number, since it uses less digits than its factorization.

1305145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1305145632 is about 36126.7993600319. The cubic root of 1305145632 is about 1092.8309632683.

The spelling of 1305145632 in words is "one billion, three hundred five million, one hundred forty-five thousand, six hundred thirty-two".