164995152 has 240 divisors, whose sum is σ = 534340800. Its totient is φ = 43653120.

The previous prime is 164995151. The next prime is 164995163. The reversal of 164995152 is 251599461.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164995151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2796499 + ... + 2796557.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^164995152 is an apocalyptic number.

164995152 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 164995152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

164995152 is an abundant number, since it is smaller than the sum of its proper divisors (369345648).

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

164995152 is a wasteful number, since it uses less digits than its factorization.

164995152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 164995152 is about 12845.0438691349. The cubic root of 164995152 is about 548.4752834044.

The spelling of 164995152 in words is "one hundred sixty-four million, nine hundred ninety-five thousand, one hundred fifty-two".