27153126 has 144 divisors (see below), whose sum is σ = 80170272. Its totient is φ = 6462720.

The previous prime is 27153107. The next prime is 27153127. The reversal of 27153126 is 62135172.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27153126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27153127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198130 + ... + 198266.

It is an arithmetic number, because the mean of its divisors is an integer number (556738).

Almost surely, 2^27153126 is an apocalyptic number.

27153126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27153126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40085136).

27153126 is an abundant number, since it is smaller than the sum of its proper divisors (53017146).

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

27153126 is a wasteful number, since it uses less digits than its factorization.

27153126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 27153126 is about 5210.8661468128. The cubic root of 27153126 is about 300.5660645646.

Adding to 27153126 its reverse (62135172), we get a palindrome (89288298).

The spelling of 27153126 in words is "twenty-seven million, one hundred fifty-three thousand, one hundred twenty-six".