135482640 has 80 divisors (see below), whose sum is σ = 423931200. Its totient is φ = 35790336.

The previous prime is 135482569. The next prime is 135482731. The reversal of 135482640 is 46284531.

It is a tau number, because it is divible by the number of its divisors (80).

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, 23571 + ... + 28749.

It is an arithmetic number, because the mean of its divisors is an integer number (5299140).

Almost surely, 2^135482640 is an apocalyptic number.

135482640 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 135482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211965600).

135482640 is an abundant number, since it is smaller than the sum of its proper divisors (288448560).

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

135482640 is a wasteful number, since it uses less digits than its factorization.

135482640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 135482640 is about 11639.7010270883. The cubic root of 135482640 is about 513.6033923166.

The spelling of 135482640 in words is "one hundred thirty-five million, four hundred eighty-two thousand, six hundred forty".