1305440136 has 384 divisors, whose sum is σ = 4843238400. Its totient is φ = 306685440.

The previous prime is 1305440117. The next prime is 1305440137. The reversal of 1305440136 is 6310445031.

It is not an unprimeable number, because it can be changed into a prime (1305440137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4252095 + ... + 4252401.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^1305440136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305440136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

1305440136 is an abundant number, since it is smaller than the sum of its proper divisors (3537798264).

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

1305440136 is a wasteful number, since it uses less digits than its factorization.

1305440136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1305440136 is about 36130.8751070328. The cubic root of 1305440136 is about 1092.9131555993.

Adding to 1305440136 its reverse (6310445031), we get a palindrome (7615885167).

The spelling of 1305440136 in words is "one billion, three hundred five million, four hundred forty thousand, one hundred thirty-six".