135126144 has 80 divisors (see below), whose sum is σ = 402164070. Its totient is φ = 45038592.

The previous prime is 135126133. The next prime is 135126151. The reversal of 135126144 is 441621531.

It is a happy number.

135126144 is a `hidden beast` number, since 1 + 3 + 512 + 6 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108993600 + 26132544 = 10440^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3852 + ... + 16884.

Almost surely, 2^135126144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201082035).

135126144 is an abundant number, since it is smaller than the sum of its proper divisors (267037926).

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

135126144 is an equidigital number, since it uses as much as digits as its factorization.

135126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13059 (or 13038 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 135126144 is about 11624.3771446044. The cubic root of 135126144 is about 513.1525144151.

Adding to 135126144 its reverse (441621531), we get a palindrome (576747675).

It can be divided in two parts, 1351 and 26144, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 135126144 in words is "one hundred thirty-five million, one hundred twenty-six thousand, one hundred forty-four".