210135672 has 72 divisors (see below), whose sum is σ = 580616400. Its totient is φ = 68657472.

The previous prime is 210135671. The next prime is 210135689. The reversal of 210135672 is 276531012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210135671) 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 17 ways as a sum of consecutive naturals, for example, 201729 + ... + 202767.

Almost surely, 2^210135672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210135672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290308200).

210135672 is an abundant number, since it is smaller than the sum of its proper divisors (370480728).

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

210135672 is a wasteful number, since it uses less digits than its factorization.

210135672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 210135672 is about 14496.0571190928. The cubic root of 210135672 is about 594.5201714948.

Adding to 210135672 its reverse (276531012), we get a palindrome (486666684).

It can be divided in two parts, 2101 and 35672, that added together give a palindrome (37773).

The spelling of 210135672 in words is "two hundred ten million, one hundred thirty-five thousand, six hundred seventy-two".