135150540 has 96 divisors (see below), whose sum is σ = 434058240. Its totient is φ = 30779136.

The previous prime is 135150511. The next prime is 135150551. The reversal of 135150540 is 45051531.

It is a self number, because there is not a number n which added to its sum of digits gives 135150540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184014 + ... + 184746.

It is an arithmetic number, because the mean of its divisors is an integer number (4521440).

Almost surely, 2^135150540 is an apocalyptic number.

135150540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135150540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217029120).

135150540 is an abundant number, since it is smaller than the sum of its proper divisors (298907700).

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

135150540 is a wasteful number, since it uses less digits than its factorization.

135150540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

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

The square root of 135150540 is about 11625.4264437912. The cubic root of 135150540 is about 513.1833944877.

Subtracting from 135150540 its reverse (45051531), we obtain a palindrome (90099009).

The spelling of 135150540 in words is "one hundred thirty-five million, one hundred fifty thousand, five hundred forty".