1345135330304 has 44 divisors (see below), whose sum is σ = 2691213441564. Its totient is φ = 672003293184.

The previous prime is 1345135330291. The next prime is 1345135330313. The reversal of 1345135330304 is 4030335315431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 320084377600 + 1025050952704 = 565760^2 + 1012448^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671084 + ... + 1772180.

Almost surely, 2^{1345135330304} 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 1345135330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345606720782).

1345135330304 is an abundant number, since it is smaller than the sum of its proper divisors (1346078111260).

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

1345135330304 is a wasteful number, since it uses less digits than its factorization.

1345135330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102310 (or 1102292 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

The spelling of 1345135330304 in words is "one trillion, three hundred forty-five billion, one hundred thirty-five million, three hundred thirty thousand, three hundred four".