135138024 has 128 divisors (see below), whose sum is σ = 432768000. Its totient is φ = 38273472.

The previous prime is 135137993. The next prime is 135138037. The reversal of 135138024 is 420831531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209847 + ... + 210489.

It is an arithmetic number, because the mean of its divisors is an integer number (3381000).

Almost surely, 2^135138024 is an apocalyptic number.

135138024 is a gapful number since it is divisible by the number (14) 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 135138024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216384000).

135138024 is an abundant number, since it is smaller than the sum of its proper divisors (297629976).

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

135138024 is a wasteful number, since it uses less digits than its factorization.

135138024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135138024 is about 11624.8881284940. Note that the first 3 decimals coincide. The cubic root of 135138024 is about 513.1675523963.

Adding to 135138024 its reverse (420831531), we get a palindrome (555969555).

The spelling of 135138024 in words is "one hundred thirty-five million, one hundred thirty-eight thousand, twenty-four".