166249152 has 224 divisors, whose sum is σ = 526694400. Its totient is φ = 51296256.

The previous prime is 166249147. The next prime is 166249159. The reversal of 166249152 is 251942661.

166249152 is a `hidden beast` number, since 16 + 624 + 9 + 15 + 2 = 666.

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

Its product of digits (25920) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (166249159) 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 31 ways as a sum of consecutive naturals, for example, 1867924 + ... + 1868012.

Almost surely, 2^166249152 is an apocalyptic number.

166249152 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 166249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

166249152 is an abundant number, since it is smaller than the sum of its proper divisors (360445248).

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

166249152 is a wasteful number, since it uses less digits than its factorization.

166249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 166249152 is about 12893.7640741562. The cubic root of 166249152 is about 549.8612895380.

The spelling of 166249152 in words is "one hundred sixty-six million, two hundred forty-nine thousand, one hundred fifty-two".