135285024 has 96 divisors (see below), whose sum is σ = 416900736. Its totient is φ = 37601280.

The previous prime is 135285019. The next prime is 135285043. The reversal of 135285024 is 420582531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 135284982 and 135285000.

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, 22144 + ... + 27584.

It is an arithmetic number, because the mean of its divisors is an integer number (4342716).

Almost surely, 2^135285024 is an apocalyptic number.

135285024 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 135285024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208450368).

135285024 is an abundant number, since it is smaller than the sum of its proper divisors (281615712).

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

135285024 is a wasteful number, since it uses less digits than its factorization.

135285024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 135285024 is about 11631.2090515131. The cubic root of 135285024 is about 513.3535555460.

The spelling of 135285024 in words is "one hundred thirty-five million, two hundred eighty-five thousand, twenty-four".