218400437133 has 28 divisors (see below), whose sum is σ = 327855510528. Its totient is φ = 145420365960.

The previous prime is 218400437113. The next prime is 218400437149. The reversal of 218400437133 is 331734004812.

218400437133 is a `hidden beast` number, since 218 + 4 + 0 + 0 + 437 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 218400437133 - 2¹² = 218400433037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218400437113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 406516 + ... + 775922.

It is an arithmetic number, because the mean of its divisors is an integer number (11709125376).

Almost surely, 2^218400437133 is an apocalyptic number.

It is an amenable number.

218400437133 is a deficient number, since it is larger than the sum of its proper divisors (109455073395).

218400437133 is an frugal number, since it uses more digits than its factorization.

218400437133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370236 (or 370221 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 218400437133 in words is "two hundred eighteen billion, four hundred million, four hundred thirty-seven thousand, one hundred thirty-three".