1351521335136 has 576 divisors, whose sum is σ = 4505010048000. Its totient is φ = 352331513856.

The previous prime is 1351521335069. The next prime is 1351521335141. The reversal of 1351521335136 is 6315331251531.

It is a junction number, because it is equal to n+sod(n) for n = 1351521335094 and 1351521335103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409674415 + ... + 409677713.

It is an arithmetic number, because the mean of its divisors is an integer number (7821198000).

Almost surely, 2^{1351521335136} is an apocalyptic number.

1351521335136 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 1351521335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252505024000).

1351521335136 is an abundant number, since it is smaller than the sum of its proper divisors (3153488712864).

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

1351521335136 is a wasteful number, since it uses less digits than its factorization.

1351521335136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3484 counting only the distinct ones).

The product of its digits is 121500, while the sum is 39.

Adding to 1351521335136 its reverse (6315331251531), we get a palindrome (7666852586667).

The spelling of 1351521335136 in words is "one trillion, three hundred fifty-one billion, five hundred twenty-one million, three hundred thirty-five thousand, one hundred thirty-six".