1353728107 has 8 divisors (see below), whose sum is σ = 1385725616. Its totient is φ = 1321754112.

The previous prime is 1353728083. The next prime is 1353728111. The reversal of 1353728107 is 7018273531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1353728107 - 2¹⁵ = 1353695339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353728147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 175843 + ... + 183379.

It is an arithmetic number, because the mean of its divisors is an integer number (173215702).

Almost surely, 2^1353728107 is an apocalyptic number.

1353728107 is a deficient number, since it is larger than the sum of its proper divisors (31997509).

1353728107 is an equidigital number, since it uses as much as digits as its factorization.

1353728107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11757.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 1353728107 is about 36793.0442746995. The cubic root of 1353728107 is about 1106.2258821942.

It can be divided in two parts, 1353728 and 107, that added together give a triangular number (1353835 = T₁₆₄₅).

The spelling of 1353728107 in words is "one billion, three hundred fifty-three million, seven hundred twenty-eight thousand, one hundred seven".