1320348635136 has 156 divisors (see below), whose sum is σ = 3936906513280. Its totient is φ = 425918545920.

The previous prime is 1320348635119. The next prime is 1320348635143. The reversal of 1320348635136 is 6315368430231.

It is a happy number.

1320348635136 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 4 + 8 + 635 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1320348635091 and 1320348635100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565095 + ... + 1720473.

Almost surely, 2^{1320348635136} is an apocalyptic number.

1320348635136 is a gapful number since it is divisible by the number (16) 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 1320348635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968453256640).

1320348635136 is an abundant number, since it is smaller than the sum of its proper divisors (2616557878144).

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

1320348635136 is a wasteful number, since it uses less digits than its factorization.

1320348635136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155440 (or 1155415 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1320348635136 in words is "one trillion, three hundred twenty billion, three hundred forty-eight million, six hundred thirty-five thousand, one hundred thirty-six".