27145000 has 80 divisors (see below), whose sum is σ = 65369700. Its totient is φ = 10560000.

The previous prime is 27144967. The next prime is 27145003. The reversal of 27145000 is 54172.

It can be written as a sum of positive squares in 10 ways, for example, as 12659364 + 14485636 = 3558^2 + 3806^2 .

It is not an unprimeable number, because it can be changed into a prime (27145003) 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, 304956 + ... + 305044.

Almost surely, 2^27145000 is an apocalyptic number.

27145000 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 27145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32684850).

27145000 is an abundant number, since it is smaller than the sum of its proper divisors (38224700).

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

27145000 is an equidigital number, since it uses as much as digits as its factorization.

27145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 27145000 is about 5210.0863716449. The cubic root of 27145000 is about 300.5360785325.

Adding to 27145000 its reverse (54172), we get a palindrome (27199172).

The spelling of 27145000 in words is "twenty-seven million, one hundred forty-five thousand".