213388128 has 144 divisors (see below), whose sum is σ = 645608880. Its totient is φ = 68567040.

The previous prime is 213388121. The next prime is 213388129. The reversal of 213388128 is 821883312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213388092 and 213388101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213388121) 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 23 ways as a sum of consecutive naturals, for example, 830176 + ... + 830432.

It is an arithmetic number, because the mean of its divisors is an integer number (4483395).

Almost surely, 2^213388128 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 213388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322804440).

213388128 is an abundant number, since it is smaller than the sum of its proper divisors (432220752).

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

213388128 is a wasteful number, since it uses less digits than its factorization.

213388128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 293 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 213388128 is about 14607.8105135575. The cubic root of 213388128 is about 597.5717862198.

The spelling of 213388128 in words is "two hundred thirteen million, three hundred eighty-eight thousand, one hundred twenty-eight".