164407152 has 240 divisors, whose sum is σ = 562047360. Its totient is φ = 40932864.

The previous prime is 164407129. The next prime is 164407157. The reversal of 164407152 is 251704461.

164407152 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 3×164407152³ (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 (164407157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580803 + ... + 581085.

It is an arithmetic number, because the mean of its divisors is an integer number (2341864).

Almost surely, 2^164407152 is an apocalyptic number.

164407152 is a gapful number since it is divisible by the number (12) 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 164407152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281023680).

164407152 is an abundant number, since it is smaller than the sum of its proper divisors (397640208).

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

164407152 is a wasteful number, since it uses less digits than its factorization.

164407152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 164407152 is about 12822.1352355994. The cubic root of 164407152 is about 547.8229665952.

The spelling of 164407152 in words is "one hundred sixty-four million, four hundred seven thousand, one hundred fifty-two".