21136000 has 64 divisors (see below), whose sum is σ = 52589160. Its totient is φ = 8448000.

The previous prime is 21135997. The next prime is 21136007. The reversal of 21136000 is 63112.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 9684544 = 3384^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21136007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15340 + ... + 16660.

Almost surely, 2^21136000 is an apocalyptic number.

21136000 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 21136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294580).

21136000 is an abundant number, since it is smaller than the sum of its proper divisors (31453160).

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

21136000 is an equidigital number, since it uses as much as digits as its factorization.

21136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 21136000 is about 4597.3905642223. The cubic root of 21136000 is about 276.4867138359.

Adding to 21136000 its reverse (63112), we get a palindrome (21199112).

The spelling of 21136000 in words is "twenty-one million, one hundred thirty-six thousand".