219157120 has 256 divisors, whose sum is σ = 666247680. Its totient is φ = 67092480.

The previous prime is 219157109. The next prime is 219157121. The reversal of 219157120 is 21751912.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (219157121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086685 + ... + 3086755.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2^219157120 is an apocalyptic number.

219157120 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 219157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

219157120 is an abundant number, since it is smaller than the sum of its proper divisors (447090560).

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

219157120 is a wasteful number, since it uses less digits than its factorization.

219157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 219157120 is about 14803.9562279818. The cubic root of 219157120 is about 602.9091313871.

The spelling of 219157120 in words is "two hundred nineteen million, one hundred fifty-seven thousand, one hundred twenty".