208059144 has 32 divisors (see below), whose sum is σ = 522015840. Its totient is φ = 69104000.

The previous prime is 208059109. The next prime is 208059149. The reversal of 208059144 is 441950802.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (208059149) 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 7 ways as a sum of consecutive naturals, for example, 8682 + ... + 22169.

It is an arithmetic number, because the mean of its divisors is an integer number (16312995).

Almost surely, 2^208059144 is an apocalyptic number.

208059144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

208059144 is an abundant number, since it is smaller than the sum of its proper divisors (313956696).

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

208059144 is a wasteful number, since it uses less digits than its factorization.

208059144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31141 (or 31137 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 208059144 is about 14424.2554053927. The cubic root of 208059144 is about 592.5553666504. Note that the first 3 decimals are identical.

The spelling of 208059144 in words is "two hundred eight million, fifty-nine thousand, one hundred forty-four".