135652480 has 64 divisors (see below), whose sum is σ = 328521600. Its totient is φ = 53554176.

The previous prime is 135652417. The next prime is 135652483. The reversal of 135652480 is 84256531.

135652480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135652483) 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, 49219 + ... + 51901.

It is an arithmetic number, because the mean of its divisors is an integer number (5133150).

Almost surely, 2^135652480 is an apocalyptic number.

135652480 is a gapful number since it is divisible by the number (10) 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 135652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164260800).

135652480 is an abundant number, since it is smaller than the sum of its proper divisors (192869120).

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

135652480 is an equidigital number, since it uses as much as digits as its factorization.

135652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 135652480 is about 11646.9944620919. The cubic root of 135652480 is about 513.8179191250.

The spelling of 135652480 in words is "one hundred thirty-five million, six hundred fifty-two thousand, four hundred eighty".