135150 has 48 divisors (see below), whose sum is σ = 361584. Its totient is φ = 33280.

The previous prime is 135131. The next prime is 135151. The reversal of 135150 is 51531.

135150 is nontrivially palindromic in base 7 and base 12.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151) by changing a digit.

135150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2524 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (7533).

2¹³⁵¹⁵⁰ is an apocalyptic number.

135150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792).

135150 is an abundant number, since it is smaller than the sum of its proper divisors (226434).

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

135150 is a wasteful number, since it uses less digits than its factorization.

135150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 135150 is about 367.6275288930. The cubic root of 135150 is about 51.3182711004.

Adding to 135150 its reverse (51531), we get a palindrome (186681).

The spelling of 135150 in words is "one hundred thirty-five thousand, one hundred fifty".