135553120 has 48 divisors (see below), whose sum is σ = 322101360. Its totient is φ = 53906944.

The previous prime is 135553097. The next prime is 135553147. The reversal of 135553120 is 21355531.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26274 + ... + 31006.

It is an arithmetic number, because the mean of its divisors is an integer number (6710445).

Almost surely, 2^135553120 is an apocalyptic number.

135553120 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 135553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161050680).

135553120 is an abundant number, since it is smaller than the sum of its proper divisors (186548240).

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

135553120 is a wasteful number, since it uses less digits than its factorization.

135553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 135553120 is about 11642.7282026164. The cubic root of 135553120 is about 513.6924381453.

The spelling of 135553120 in words is "one hundred thirty-five million, five hundred fifty-three thousand, one hundred twenty".