166845312 has 128 divisors (see below), whose sum is σ = 514080000. Its totient is φ = 53171712.

The previous prime is 166845299. The next prime is 166845331. The reversal of 166845312 is 213548661.

It is a happy number.

166845312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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, 78439 + ... + 80537.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^166845312 is an apocalyptic number.

166845312 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 166845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

166845312 is an abundant number, since it is smaller than the sum of its proper divisors (347234688).

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

166845312 is a wasteful number, since it uses less digits than its factorization.

166845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2127 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 166845312 is about 12916.8615383149. The cubic root of 166845312 is about 550.5177625701.

The spelling of 166845312 in words is "one hundred sixty-six million, eight hundred forty-five thousand, three hundred twelve".