1356319104 has 128 divisors (see below), whose sum is σ = 4334265600. Its totient is φ = 367110144.

The previous prime is 1356319051. The next prime is 1356319117. The reversal of 1356319104 is 4019136531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37794 + ... + 64350.

It is an arithmetic number, because the mean of its divisors is an integer number (33861450).

Almost surely, 2^1356319104 is an apocalyptic number.

1356319104 is a gapful number since it is divisible by the number (14) 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 1356319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167132800).

1356319104 is an abundant number, since it is smaller than the sum of its proper divisors (2977946496).

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

1356319104 is a wasteful number, since it uses less digits than its factorization.

1356319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26600 (or 26588 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1356319104 is about 36828.2378617278. The cubic root of 1356319104 is about 1106.9311940026.

The spelling of 1356319104 in words is "one billion, three hundred fifty-six million, three hundred nineteen thousand, one hundred four".