147648365 has 16 divisors (see below), whose sum is σ = 181903536. Its totient is φ = 115008000.

The previous prime is 147648353. The next prime is 147648377. The reversal of 147648365 is 563846741.

It is an interprime number because it is at equal distance from previous prime (147648353) and next prime (147648377).

It can be written as a sum of positive squares in 8 ways, for example, as 2253001 + 145395364 = 1501^2 + 12058^2 .

It is not a de Polignac number, because 147648365 - 2¹⁸ = 147386221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28409 + ... + 33201.

It is an arithmetic number, because the mean of its divisors is an integer number (11368971).

Almost surely, 2^147648365 is an apocalyptic number.

It is an amenable number.

147648365 is a deficient number, since it is larger than the sum of its proper divisors (34255171).

147648365 is a wasteful number, since it uses less digits than its factorization.

147648365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960.

The product of its digits is 483840, while the sum is 44.

The square root of 147648365 is about 12151.0643566726. The cubic root of 147648365 is about 528.5379964071.

The spelling of 147648365 in words is "one hundred forty-seven million, six hundred forty-eight thousand, three hundred sixty-five".