135126024 has 192 divisors, whose sum is σ = 408576000. Its totient is φ = 37065600.

The previous prime is 135126023. The next prime is 135126031. The reversal of 135126024 is 420621531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 135125985 and 135126003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135126023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710417 + ... + 1710495.

It is an arithmetic number, because the mean of its divisors is an integer number (2128000).

Almost surely, 2^135126024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135126024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204288000).

135126024 is an abundant number, since it is smaller than the sum of its proper divisors (273449976).

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

135126024 is a wasteful number, since it uses less digits than its factorization.

135126024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135126024 is about 11624.3719830363. The cubic root of 135126024 is about 513.1523625118.

Adding to 135126024 its reverse (420621531), we get a palindrome (555747555).

The spelling of 135126024 in words is "one hundred thirty-five million, one hundred twenty-six thousand, twenty-four".