220134720 has 224 divisors, whose sum is σ = 778337280. Its totient is φ = 52346880.

The previous prime is 220134701. The next prime is 220134757. The reversal of 220134720 is 27431022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386596 + ... + 387164.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^220134720 is an apocalyptic number.

220134720 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 220134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

220134720 is an abundant number, since it is smaller than the sum of its proper divisors (558202560).

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

220134720 is a wasteful number, since it uses less digits than its factorization.

220134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 220134720 is about 14836.9376894290. The cubic root of 220134720 is about 603.8042726482.

Adding to 220134720 its reverse (27431022), we get a palindrome (247565742).

It can be divided in two parts, 220 and 134720, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 220134720 in words is "two hundred twenty million, one hundred thirty-four thousand, seven hundred twenty".