135639360 has 140 divisors (see below), whose sum is σ = 482585268. Its totient is φ = 36163584.

The previous prime is 135639359. The next prime is 135639377. The reversal of 135639360 is 63936531.

135639360 is a `hidden beast` number, since 1 + 3 + 563 + 93 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 38340864 = 9864^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23304 + ... + 28536.

Almost surely, 2^135639360 is an apocalyptic number.

135639360 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 135639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241292634).

135639360 is an abundant number, since it is smaller than the sum of its proper divisors (346945908).

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

135639360 is an equidigital number, since it uses as much as digits as its factorization.

135639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 135639360 is about 11646.4312130369. The cubic root of 135639360 is about 513.8013534899.

The spelling of 135639360 in words is "one hundred thirty-five million, six hundred thirty-nine thousand, three hundred sixty".