211125152 has 48 divisors (see below), whose sum is σ = 479445120. Its totient is φ = 89641728.

The previous prime is 211125151. The next prime is 211125179. The reversal of 211125152 is 251521112.

211125152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211125151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20093 + ... + 28739.

It is an arithmetic number, because the mean of its divisors is an integer number (9988440).

Almost surely, 2^211125152 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 211125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239722560).

211125152 is an abundant number, since it is smaller than the sum of its proper divisors (268319968).

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

211125152 is a wasteful number, since it uses less digits than its factorization.

211125152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8765 counting only the distinct ones).

The product of its digits is 200, while the sum is 20.

The square root of 211125152 is about 14530.1463172261. The cubic root of 211125152 is about 595.4518630474.

Adding to 211125152 its reverse (251521112), we get a palindrome (462646264).

The spelling of 211125152 in words is "two hundred eleven million, one hundred twenty-five thousand, one hundred fifty-two".