135405150 has 48 divisors (see below), whose sum is σ = 337145088. Its totient is φ = 35964000.

The previous prime is 135405097. The next prime is 135405161. The reversal of 135405150 is 51504531.

135405150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135405150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38985 + ... + 42315.

It is an arithmetic number, because the mean of its divisors is an integer number (7023856).

Almost surely, 2^135405150 is an apocalyptic number.

135405150 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 135405150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168572544).

135405150 is an abundant number, since it is smaller than the sum of its proper divisors (201739938).

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

135405150 is a wasteful number, since it uses less digits than its factorization.

135405150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 135405150 is about 11636.3718572414. The cubic root of 135405150 is about 513.5054542657.

Adding to 135405150 its reverse (51504531), we get a palindrome (186909681).

The spelling of 135405150 in words is "one hundred thirty-five million, four hundred five thousand, one hundred fifty".