164089152 has 98 divisors (see below), whose sum is σ = 488337098. Its totient is φ = 54680832.

The previous prime is 164089141. The next prime is 164089157. The reversal of 164089152 is 251980461.

164089152 is a `hidden beast` number, since 1 + 640 + 8 + 9 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 1679616 = 12744^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164089157) 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 13 ways as a sum of consecutive naturals, for example, 44898 + ... + 48414.

Almost surely, 2^164089152 is an apocalyptic number.

164089152 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 164089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244168549).

164089152 is an abundant number, since it is smaller than the sum of its proper divisors (324247946).

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

164089152 is an frugal number, since it uses more digits than its factorization.

164089152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 164089152 is about 12809.7288027499. The cubic root of 164089152 is about 547.4695348032.

The spelling of 164089152 in words is "one hundred sixty-four million, eighty-nine thousand, one hundred fifty-two".