21148128 has 120 divisors (see below), whose sum is σ = 64033200. Its totient is φ = 6842880.

The previous prime is 21148123. The next prime is 21148133. The reversal of 21148128 is 82184112.

It is an interprime number because it is at equal distance from previous prime (21148123) and next prime (21148133).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21148123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106173 + ... + 106371.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 2^21148128 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 21148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016600).

21148128 is an abundant number, since it is smaller than the sum of its proper divisors (42885072).

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

21148128 is a wasteful number, since it uses less digits than its factorization.

21148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 21148128 is about 4598.7093841642. The cubic root of 21148128 is about 276.5395871279.

The spelling of 21148128 in words is "twenty-one million, one hundred forty-eight thousand, one hundred twenty-eight".