1353310164136 has 128 divisors (see below), whose sum is σ = 3095760384000. Its totient is φ = 541737504000.

The previous prime is 1353310164103. The next prime is 1353310164137. The reversal of 1353310164136 is 6314610133531.

It is a junction number, because it is equal to n+sod(n) for n = 1353310164095 and 1353310164104.

It is not an unprimeable number, because it can be changed into a prime (1353310164137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25657551 + ... + 25710241.

It is an arithmetic number, because the mean of its divisors is an integer number (24185628000).

Almost surely, 2^{1353310164136} 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 1353310164136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547880192000).

1353310164136 is an abundant number, since it is smaller than the sum of its proper divisors (1742450219864).

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

1353310164136 is a wasteful number, since it uses less digits than its factorization.

1353310164136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53063 (or 53059 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

Adding to 1353310164136 its reverse (6314610133531), we get a palindrome (7667920297667).

The spelling of 1353310164136 in words is "one trillion, three hundred fifty-three billion, three hundred ten million, one hundred sixty-four thousand, one hundred thirty-six".