210612715136 has 128 divisors (see below), whose sum is σ = 448360012800. Its totient is φ = 98258807808.

The previous prime is 210612715129. The next prime is 210612715139. The reversal of 210612715136 is 631517216012.

It is a happy number.

210612715136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 210612715096 and 210612715105.

It is not an unprimeable number, because it can be changed into a prime (210612715139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74079731 + ... + 74082573.

It is an arithmetic number, because the mean of its divisors is an integer number (3502812600).

Almost surely, 2^210612715136 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 210612715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224180006400).

210612715136 is an abundant number, since it is smaller than the sum of its proper divisors (237747297664).

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

210612715136 is a wasteful number, since it uses less digits than its factorization.

210612715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 210612715136 in words is "two hundred ten billion, six hundred twelve million, seven hundred fifteen thousand, one hundred thirty-six".