135059220 has 288 divisors, whose sum is σ = 481178880. Its totient is φ = 30412800.

The previous prime is 135059167. The next prime is 135059231. The reversal of 135059220 is 22950531.

135059220 is a `hidden beast` number, since 1 + 3 + 50 + 592 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337170 + ... + 1337270.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^135059220 is an apocalyptic number.

135059220 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 135059220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

135059220 is an abundant number, since it is smaller than the sum of its proper divisors (346119660).

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

135059220 is a wasteful number, since it uses less digits than its factorization.

135059220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135059220 is about 11621.4981822483. The cubic root of 135059220 is about 513.0677839823.

The spelling of 135059220 in words is "one hundred thirty-five million, fifty-nine thousand, two hundred twenty".