135012024 has 192 divisors, whose sum is σ = 459763200. Its totient is φ = 34898688.

The previous prime is 135012019. The next prime is 135012089. The reversal of 135012024 is 420210531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135011988 and 135012006.

It is a congruent number.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 219942 + ... + 220554.

It is an arithmetic number, because the mean of its divisors is an integer number (2394600).

Almost surely, 2^135012024 is an apocalyptic number.

135012024 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 135012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229881600).

135012024 is an abundant number, since it is smaller than the sum of its proper divisors (324751176).

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

135012024 is a wasteful number, since it uses less digits than its factorization.

135012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135012024 is about 11619.4674576764. The cubic root of 135012024 is about 513.0080137366.

Adding to 135012024 its reverse (420210531), we get a palindrome (555222555).

The spelling of 135012024 in words is "one hundred thirty-five million, twelve thousand, twenty-four".