27136000 has 104 divisors (see below), whose sum is σ = 69000984. Its totient is φ = 10649600.

The previous prime is 27135989. The next prime is 27136003. The reversal of 27136000 is 63172.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 26873856 = 512^2 + 5184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27136003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511974 + ... + 512026.

It is an arithmetic number, because the mean of its divisors is an integer number (663471).

Almost surely, 2^27136000 is an apocalyptic number.

27136000 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 27136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34500492).

27136000 is an abundant number, since it is smaller than the sum of its proper divisors (41864984).

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

27136000 is an frugal number, since it uses more digits than its factorization.

27136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 27136000 is about 5209.2225907519. Note that the first 3 decimals coincide. The cubic root of 27136000 is about 300.5028603377.

Adding to 27136000 its reverse (63172), we get a palindrome (27199172).

The spelling of 27136000 in words is "twenty-seven million, one hundred thirty-six thousand".