219136401 has 32 divisors (see below), whose sum is σ = 356106240. Its totient is φ = 132080400.

The previous prime is 219136391. The next prime is 219136417. The reversal of 219136401 is 104631912.

219136401 is a `hidden beast` number, since 2 + 1 + 9 + 13 + 640 + 1 = 666.

It is not a de Polignac number, because 219136401 - 2⁵ = 219136369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (219136451) 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 31 ways as a sum of consecutive naturals, for example, 54796 + ... + 58658.

It is an arithmetic number, because the mean of its divisors is an integer number (11128320).

Almost surely, 2^219136401 is an apocalyptic number.

It is an amenable number.

219136401 is a deficient number, since it is larger than the sum of its proper divisors (136969839).

219136401 is a wasteful number, since it uses less digits than its factorization.

219136401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 219136401 is about 14803.2564322854. The cubic root of 219136401 is about 602.8901312166.

The spelling of 219136401 in words is "two hundred nineteen million, one hundred thirty-six thousand, four hundred one".