164213002140 has 96 divisors (see below), whose sum is σ = 508467407616. Its totient is φ = 39263869440.

The previous prime is 164213002117. The next prime is 164213002141. The reversal of 164213002140 is 41200312461.

164213002140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164213002140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164213002141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1655982 + ... + 1752341.

It is an arithmetic number, because the mean of its divisors is an integer number (5296535496).

Almost surely, 2^164213002140 is an apocalyptic number.

164213002140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164213002140 is an abundant number, since it is smaller than the sum of its proper divisors (344254405476).

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

164213002140 is a wasteful number, since it uses less digits than its factorization.

164213002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408419 (or 3408417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 164213002140 in words is "one hundred sixty-four billion, two hundred thirteen million, two thousand, one hundred forty".