208125126 has 112 divisors (see below), whose sum is σ = 538280640. Its totient is φ = 59661360.

The previous prime is 208125121. The next prime is 208125133. The reversal of 208125126 is 621521802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 208125126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208125121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 304381 + ... + 305063.

Almost surely, 2^208125126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208125126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269140320).

208125126 is an abundant number, since it is smaller than the sum of its proper divisors (330155514).

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

208125126 is a wasteful number, since it uses less digits than its factorization.

208125126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 208125126 is about 14426.5424132049. The cubic root of 208125126 is about 592.6179992511.

Adding to 208125126 its reverse (621521802), we get a palindrome (829646928).

The spelling of 208125126 in words is "two hundred eight million, one hundred twenty-five thousand, one hundred twenty-six".