1359304128 has 168 divisors, whose sum is σ = 4795507808. Its totient is φ = 358483968.

The previous prime is 1359304103. The next prime is 1359304147. The reversal of 1359304128 is 8214039531.

1359304128 is a `hidden beast` number, since 1 + 3 + 593 + 0 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1359304092 and 1359304101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39450 + ... + 65382.

Almost surely, 2^1359304128 is an apocalyptic number.

1359304128 is a gapful number since it is divisible by the number (18) 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 1359304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397753904).

1359304128 is an abundant number, since it is smaller than the sum of its proper divisors (3436203680).

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

1359304128 is a wasteful number, since it uses less digits than its factorization.

1359304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25971 (or 25958 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1359304128 is about 36868.7418825216. The cubic root of 1359304128 is about 1107.7426537658.

The spelling of 1359304128 in words is "one billion, three hundred fifty-nine million, three hundred four thousand, one hundred twenty-eight".