135135150 has 48 divisors (see below), whose sum is σ = 337252224. Its totient is φ = 35808480.

The previous prime is 135135113. The next prime is 135135167. The reversal of 135135150 is 51531531.

It is a self number, because there is not a number n which added to its sum of digits gives 135135150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21687 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (7026088).

Almost surely, 2^135135150 is an apocalyptic number.

135135150 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 135135150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168626112).

135135150 is an abundant number, since it is smaller than the sum of its proper divisors (202117074).

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

135135150 is a wasteful number, since it uses less digits than its factorization.

135135150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 135135150 is about 11624.7645137439. The cubic root of 135135150 is about 513.1639145008.

Adding to 135135150 its reverse (51531531), we get a palindrome (186666681).

The spelling of 135135150 in words is "one hundred thirty-five million, one hundred thirty-five thousand, one hundred fifty".