208513152 has 48 divisors (see below), whose sum is σ = 600021630. Its totient is φ = 69504000.

The previous prime is 208513141. The next prime is 208513171. The reversal of 208513152 is 251315802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121352256 + 87160896 = 11016^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 89349 + ... + 91652.

Almost surely, 2^208513152 is an apocalyptic number.

It is an amenable number.

208513152 is an abundant number, since it is smaller than the sum of its proper divisors (391508478).

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

208513152 is a wasteful number, since it uses less digits than its factorization.

208513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181021 (or 181006 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 208513152 is about 14439.9844875263. The cubic root of 208513152 is about 592.9860605835.

Adding to 208513152 its reverse (251315802), we get a palindrome (459828954).

The spelling of 208513152 in words is "two hundred eight million, five hundred thirteen thousand, one hundred fifty-two".