219136000 has 120 divisors (see below), whose sum is σ = 552058416. Its totient is φ = 86835200.

The previous prime is 219135991. The next prime is 219136003. The reversal of 219136000 is 631912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219136003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047947 + ... + 2048053.

Almost surely, 2^219136000 is an apocalyptic number.

219136000 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 219136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276029208).

219136000 is an abundant number, since it is smaller than the sum of its proper divisors (332922416).

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

219136000 is an frugal number, since it uses more digits than its factorization.

219136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 219136000 is about 14803.2428879621. The cubic root of 219136000 is about 602.8897634714.

Adding to 219136000 its reverse (631912), we get a palindrome (219767912).

The spelling of 219136000 in words is "two hundred nineteen million, one hundred thirty-six thousand".