166562144 has 48 divisors (see below), whose sum is σ = 375909408. Its totient is φ = 71165952.

The previous prime is 166562087. The next prime is 166562161. The reversal of 166562144 is 441265661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87992 + ... + 89864.

It is an arithmetic number, because the mean of its divisors is an integer number (7831446).

Almost surely, 2^166562144 is an apocalyptic number.

166562144 is a gapful number since it is divisible by the number (14) 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 166562144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187954704).

166562144 is an abundant number, since it is smaller than the sum of its proper divisors (209347264).

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

166562144 is a wasteful number, since it uses less digits than its factorization.

166562144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2279 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 166562144 is about 12905.8957070015. The cubic root of 166562144 is about 550.2061420113.

The spelling of 166562144 in words is "one hundred sixty-six million, five hundred sixty-two thousand, one hundred forty-four".