220135520 has 192 divisors, whose sum is σ = 620524800. Its totient is φ = 72898560.

The previous prime is 220135481. The next prime is 220135523. The reversal of 220135520 is 25531022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220135492 and 220135501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220135523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969647 + ... + 969873.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^220135520 is an apocalyptic number.

220135520 is a gapful number since it is divisible by the number (20) 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 220135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

220135520 is an abundant number, since it is smaller than the sum of its proper divisors (400389280).

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

220135520 is a wasteful number, since it uses less digits than its factorization.

220135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 220135520 is about 14836.9646491457. The cubic root of 220135520 is about 603.8050040833.

Adding to 220135520 its reverse (25531022), we get a palindrome (245666542).

The spelling of 220135520 in words is "two hundred twenty million, one hundred thirty-five thousand, five hundred twenty".