152849205 has 54 divisors (see below), whose sum is σ = 282529026. Its totient is φ = 76432896.

The previous prime is 152849201. The next prime is 152849209. The reversal of 152849205 is 502948251.

It is an interprime number because it is at equal distance from previous prime (152849201) and next prime (152849209).

It can be written as a sum of positive squares in 3 ways, for example, as 10929636 + 141919569 = 3306^2 + 11913^2 .

It is not a de Polignac number, because 152849205 - 2² = 152849201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152849205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152849201) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1575717 + ... + 1575813.

It is an arithmetic number, because the mean of its divisors is an integer number (5232019).

Almost surely, 2^152849205 is an apocalyptic number.

152849205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152849205 is a deficient number, since it is larger than the sum of its proper divisors (129679821).

152849205 is an equidigital number, since it uses as much as digits as its factorization.

152849205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 152849205 is about 12363.2198475963. The cubic root of 152849205 is about 534.6723530257.

The spelling of 152849205 in words is "one hundred fifty-two million, eight hundred forty-nine thousand, two hundred five".