166465152 has 192 divisors, whose sum is σ = 572097600. Its totient is φ = 47513088.

The previous prime is 166465141. The next prime is 166465153. The reversal of 166465152 is 251564661.

166465152 is a `hidden beast` number, since 1 + 6 + 646 + 5 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (166465153) 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 23 ways as a sum of consecutive naturals, for example, 168853 + ... + 169835.

It is an arithmetic number, because the mean of its divisors is an integer number (2979675).

Almost surely, 2^166465152 is an apocalyptic number.

166465152 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 166465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286048800).

166465152 is an abundant number, since it is smaller than the sum of its proper divisors (405632448).

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

166465152 is an equidigital number, since it uses as much as digits as its factorization.

166465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 995 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166465152 is about 12902.1374973297. The cubic root of 166465152 is about 550.0993231092.

The spelling of 166465152 in words is "one hundred sixty-six million, four hundred sixty-five thousand, one hundred fifty-two".