1305134123540 has 96 divisors (see below), whose sum is σ = 3107814635520. Its totient is φ = 456407018496.

The previous prime is 1305134123459. The next prime is 1305134123569. The reversal of 1305134123540 is 453214315031.

It is a junction number, because it is equal to n+sod(n) for n = 1305134123497 and 1305134123506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18900557 + ... + 18969483.

It is an arithmetic number, because the mean of its divisors is an integer number (32373069120).

Almost surely, 2^{1305134123540} is an apocalyptic number.

1305134123540 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 1305134123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553907317760).

1305134123540 is an abundant number, since it is smaller than the sum of its proper divisors (1802680511980).

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

1305134123540 is a wasteful number, since it uses less digits than its factorization.

1305134123540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72801 (or 72799 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 1305134123540 its reverse (453214315031), we get a palindrome (1758348438571).

The spelling of 1305134123540 in words is "one trillion, three hundred five billion, one hundred thirty-four million, one hundred twenty-three thousand, five hundred forty".