164411142 has 64 divisors (see below), whose sum is σ = 398131200. Its totient is φ = 44215200.

The previous prime is 164411119. The next prime is 164411147. The reversal of 164411142 is 241114461.

164411142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164411142³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164411147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142267 + ... + 143417.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2^164411142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164411142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

164411142 is an abundant number, since it is smaller than the sum of its proper divisors (233720058).

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

164411142 is a wasteful number, since it uses less digits than its factorization.

164411142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361.

The product of its digits is 768, while the sum is 24.

The square root of 164411142 is about 12822.2908249657. The cubic root of 164411142 is about 547.8273982677.

The spelling of 164411142 in words is "one hundred sixty-four million, four hundred eleven thousand, one hundred forty-two".