21137280 has 128 divisors (see below), whose sum is σ = 68666400. Its totient is φ = 5529600.

The previous prime is 21137279. The next prime is 21137297. The reversal of 21137280 is 8273112.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21137280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193866 + ... + 193974.

Almost surely, 2^21137280 is an apocalyptic number.

21137280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34333200).

21137280 is an abundant number, since it is smaller than the sum of its proper divisors (47529120).

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

21137280 is a wasteful number, since it uses less digits than its factorization.

21137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 21137280 is about 4597.5297715186. The cubic root of 21137280 is about 276.4922950851.

The spelling of 21137280 in words is "twenty-one million, one hundred thirty-seven thousand, two hundred eighty".