135555120 has 240 divisors, whose sum is σ = 498301440. Its totient is φ = 34152192.

The previous prime is 135555071. The next prime is 135555131. The reversal of 135555120 is 21555531.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369177 + ... + 369543.

It is an arithmetic number, because the mean of its divisors is an integer number (2076256).

Almost surely, 2^135555120 is an apocalyptic number.

135555120 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 135555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249150720).

135555120 is an abundant number, since it is smaller than the sum of its proper divisors (362746320).

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

135555120 is a wasteful number, since it uses less digits than its factorization.

135555120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 135555120 is about 11642.8140928214. The cubic root of 135555120 is about 513.6949645345.

The spelling of 135555120 in words is "one hundred thirty-five million, five hundred fifty-five thousand, one hundred twenty".