215545120 has 144 divisors (see below), whose sum is σ = 623972160. Its totient is φ = 69963264.

The previous prime is 215545103. The next prime is 215545133. The reversal of 215545120 is 21545512.

215545120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148237 + ... + 149683.

It is an arithmetic number, because the mean of its divisors is an integer number (4333140).

Almost surely, 2^215545120 is an apocalyptic number.

215545120 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 215545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311986080).

215545120 is an abundant number, since it is smaller than the sum of its proper divisors (408427040).

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

215545120 is a wasteful number, since it uses less digits than its factorization.

215545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 215545120 is about 14681.4549687693. The cubic root of 215545120 is about 599.5785188068.

The spelling of 215545120 in words is "two hundred fifteen million, five hundred forty-five thousand, one hundred twenty".