208629136 has 45 divisors (see below), whose sum is σ = 425266401. Its totient is φ = 99143616.

The previous prime is 208629119. The next prime is 208629143. The reversal of 208629136 is 631926802.

The square root of 208629136 is 14444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61152400 + 147476736 = 7820^2 + 12144^2 .

It is a super-2 number, since 2×208629136² = 87052232776212992, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208629095 and 208629104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1328770 + ... + 1328926.

Almost surely, 2^208629136 is an apocalyptic number.

208629136 is the 14444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208629136

208629136 is an abundant number, since it is smaller than the sum of its proper divisors (216637265).

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

208629136 is an equidigital number, since it uses as much as digits as its factorization.

208629136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 208629136 is about 593.0959883367.

The spelling of 208629136 in words is "two hundred eight million, six hundred twenty-nine thousand, one hundred thirty-six".