135244032 has 144 divisors (see below), whose sum is σ = 448960512. Its totient is φ = 35112960.

The previous prime is 135244001. The next prime is 135244063. The reversal of 135244032 is 230442531.

It is an interprime number because it is at equal distance from previous prime (135244001) and next prime (135244063).

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 = 135243993 and 135244011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57993 + ... + 60279.

Almost surely, 2^135244032 is an apocalyptic number.

135244032 is a gapful number since it is divisible by the number (12) 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 135244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224480256).

135244032 is an abundant number, since it is smaller than the sum of its proper divisors (313716480).

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

135244032 is a wasteful number, since it uses less digits than its factorization.

135244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135244032 is about 11629.4467624217. The cubic root of 135244032 is about 513.3017007925.

Adding to 135244032 its reverse (230442531), we get a palindrome (365686563).

The spelling of 135244032 in words is "one hundred thirty-five million, two hundred forty-four thousand, thirty-two".