135520416 has 144 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 42071040.

The previous prime is 135520403. The next prime is 135520423. The reversal of 135520416 is 614025531.

135520416 is a `hidden beast` number, since 135 + 520 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 135520416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271335 + ... + 271833.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^135520416 is an apocalyptic number.

135520416 is a gapful number since it is divisible by the number (16) 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 135520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

135520416 is an abundant number, since it is smaller than the sum of its proper divisors (277255584).

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

135520416 is a wasteful number, since it uses less digits than its factorization.

135520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135520416 is about 11641.3236360819. The cubic root of 135520416 is about 513.6511231028.

Adding to 135520416 its reverse (614025531), we get a palindrome (749545947).

The spelling of 135520416 in words is "one hundred thirty-five million, five hundred twenty thousand, four hundred sixteen".