1353116128 has 192 divisors, whose sum is σ = 3474938880. Its totient is φ = 504041472.

The previous prime is 1353116123. The next prime is 1353116143. The reversal of 1353116128 is 8216113531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353116128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353116123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5960751 + ... + 5960977.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^1353116128 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 1353116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

1353116128 is an abundant number, since it is smaller than the sum of its proper divisors (2121822752).

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

1353116128 is a wasteful number, since it uses less digits than its factorization.

1353116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 1353116128 is about 36784.7268305747. The cubic root of 1353116128 is about 1106.0591601258.

Adding to 1353116128 its reverse (8216113531), we get a palindrome (9569229659).

The spelling of 1353116128 in words is "one billion, three hundred fifty-three million, one hundred sixteen thousand, one hundred twenty-eight".