135847424 has 80 divisors (see below), whose sum is σ = 285490656. Its totient is φ = 64512000.

The previous prime is 135847423. The next prime is 135847429. The reversal of 135847424 is 424748531.

135847424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135847423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344974 + ... + 1345074.

Almost surely, 2^135847424 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 135847424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142745328).

135847424 is an abundant number, since it is smaller than the sum of its proper divisors (149643232).

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

135847424 is an equidigital number, since it uses as much as digits as its factorization.

135847424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 135847424 is about 11655.3603118908. The cubic root of 135847424 is about 514.0639344737.

The spelling of 135847424 in words is "one hundred thirty-five million, eight hundred forty-seven thousand, four hundred twenty-four".