27000144 has 60 divisors (see below), whose sum is σ = 76381396. Its totient is φ = 8902656.

The previous prime is 27000143. The next prime is 27000179. The reversal of 27000144 is 44100072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 11696400 = 3912^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27000143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13002 + ... + 14934.

Almost surely, 2^27000144 is an apocalyptic number.

27000144 is a gapful number since it is divisible by the number (24) 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 27000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38190698).

27000144 is an abundant number, since it is smaller than the sum of its proper divisors (49381252).

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

27000144 is a wasteful number, since it uses less digits than its factorization.

27000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 27000144 is about 5196.1662790946. The cubic root of 27000144 is about 300.0005333324. Note that the first 3 decimals are identical.

The spelling of 27000144 in words is "twenty-seven million, one hundred forty-four", and thus it is an aban number.