135054 has 32 divisors (see below), whose sum is σ = 312480. Its totient is φ = 43200.

The previous prime is 135049. The next prime is 135059. The reversal of 135054 is 450531.

135054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135049) and next prime (135059).

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 (135059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2¹³⁵⁰⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

135054 is an abundant number, since it is smaller than the sum of its proper divisors (177426).

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

135054 is a wasteful number, since it uses less digits than its factorization.

135054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135054 is about 367.4969387628. The cubic root of 135054 is about 51.3061173923.

135054 divided by its sum of digits (18) gives a triangular number (7503 = T₁₂₂).

Adding to 135054 its reverse (450531), we get a palindrome (585585).

It can be divided in two parts, 1350 and 54, that multiplied together give a square (72900 = 270²).

The spelling of 135054 in words is "one hundred thirty-five thousand, fifty-four".