166681152 has 280 divisors, whose sum is σ = 560588160. Its totient is φ = 48522240.

The previous prime is 166681147. The next prime is 166681159. The reversal of 166681152 is 251186661.

166681152 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 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 (166681159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2109849 + ... + 2109927.

Almost surely, 2^166681152 is an apocalyptic number.

166681152 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 166681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280294080).

166681152 is an abundant number, since it is smaller than the sum of its proper divisors (393907008).

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

166681152 is a wasteful number, since it uses less digits than its factorization.

166681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 166681152 is about 12910.5054897165. The cubic root of 166681152 is about 550.3371508595.

The spelling of 166681152 in words is "one hundred sixty-six million, six hundred eighty-one thousand, one hundred fifty-two".