164305152000 has 768 divisors, whose sum is σ = 662941843200. Its totient is φ = 39813120000.

The previous prime is 164305151987. The next prime is 164305152043. The reversal of 164305152000 is 251503461.

164305152000 is a `hidden beast` number, since 1 + 64 + 30 + 51 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76030920 + ... + 76033080.

It is an arithmetic number, because the mean of its divisors is an integer number (863205525).

Almost surely, 2^164305152000 is an apocalyptic number.

164305152000 is a gapful number since it is divisible by the number (10) 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 164305152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331470921600).

164305152000 is an abundant number, since it is smaller than the sum of its proper divisors (498636691200).

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

164305152000 is a wasteful number, since it uses less digits than its factorization.

164305152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 164305152000 its reverse (251503461), we get a palindrome (164556655461).

The spelling of 164305152000 in words is "one hundred sixty-four billion, three hundred five million, one hundred fifty-two thousand".