218193129 has 144 divisors (see below), whose sum is σ = 436665600. Its totient is φ = 107110080.

The previous prime is 218193121. The next prime is 218193133. The reversal of 218193129 is 921391812.

It is not a de Polignac number, because 218193129 - 2³ = 218193121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218193093 and 218193102.

It is not an unprimeable number, because it can be changed into a prime (218193121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4642384 + ... + 4642430.

It is an arithmetic number, because the mean of its divisors is an integer number (3032400).

Almost surely, 2^218193129 is an apocalyptic number.

218193129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

218193129 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

218193129 is a wasteful number, since it uses less digits than its factorization.

218193129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 218193129 is about 14771.3617855633. The cubic root of 218193129 is about 602.0238407721.

The spelling of 218193129 in words is "two hundred eighteen million, one hundred ninety-three thousand, one hundred twenty-nine".