166536144 has 30 divisors (see below), whose sum is σ = 466070306. Its totient is φ = 55512000.

The previous prime is 166536143. The next prime is 166536157. The reversal of 166536144 is 441635661.

It is a happy number.

166536144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 166100544 + 435600 = 12888^2 + 660^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 166536099 and 166536108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166536143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578107 + ... + 578394.

Almost surely, 2^166536144 is an apocalyptic number.

It is an amenable number.

166536144 is an abundant number, since it is smaller than the sum of its proper divisors (299534162).

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

166536144 is a wasteful number, since it uses less digits than its factorization.

166536144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156515 (or 1156506 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 166536144 is about 12904.8883761155. Note that the first 3 decimals coincide. The cubic root of 166536144 is about 550.1775118481.

The spelling of 166536144 in words is "one hundred sixty-six million, five hundred thirty-six thousand, one hundred forty-four".