164305152 has 144 divisors (see below), whose sum is σ = 530295360. Its totient is φ = 49766400.

The previous prime is 164305129. The next prime is 164305171. The reversal of 164305152 is 251503461.

164305152 is a `hidden beast` number, since 1 + 643 + 0 + 5 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74952 + ... + 77112.

Almost surely, 2^164305152 is an apocalyptic number.

164305152 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 164305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265147680).

164305152 is an abundant number, since it is smaller than the sum of its proper divisors (365990208).

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

164305152 is a wasteful number, since it uses less digits than its factorization.

164305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2177 counting only the distinct ones).

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

The square root of 164305152 is about 12818.1571218331. The cubic root of 164305152 is about 547.7096513660.

The spelling of 164305152 in words is "one hundred sixty-four million, three hundred five thousand, one hundred fifty-two".