164216055136 has 144 divisors (see below), whose sum is σ = 381211654320. Its totient is φ = 69424051200.

The previous prime is 164216055127. The next prime is 164216055137. The reversal of 164216055136 is 631550612461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164216055137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46400055 + ... + 46403593.

It is an arithmetic number, because the mean of its divisors is an integer number (2647303155).

Almost surely, 2^164216055136 is an apocalyptic number.

164216055136 is a gapful number since it is divisible by the number (16) 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 164216055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190605827160).

164216055136 is an abundant number, since it is smaller than the sum of its proper divisors (216995599184).

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

164216055136 is a wasteful number, since it uses less digits than its factorization.

164216055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 164216055136 its reverse (631550612461), we get a palindrome (795766667597).

The spelling of 164216055136 in words is "one hundred sixty-four billion, two hundred sixteen million, fifty-five thousand, one hundred thirty-six".