135613440 has 264 divisors, whose sum is σ = 491771280. Its totient is φ = 35831808.

The previous prime is 135613417. The next prime is 135613441. The reversal of 135613440 is 44316531.

135613440 is a `hidden beast` number, since 1 + 3 + 5 + 613 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135613441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244106 + ... + 1244214.

It is an arithmetic number, because the mean of its divisors is an integer number (1862770).

Almost surely, 2^135613440 is an apocalyptic number.

135613440 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 135613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245885640).

135613440 is an abundant number, since it is smaller than the sum of its proper divisors (356157840).

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

135613440 is an equidigital number, since it uses as much as digits as its factorization.

135613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135613440 is about 11645.3183726337. The cubic root of 135613440 is about 513.7686231195.

Adding to 135613440 its reverse (44316531), we get a palindrome (179929971).

The spelling of 135613440 in words is "one hundred thirty-five million, six hundred thirteen thousand, four hundred forty".