166241152 has 128 divisors (see below), whose sum is σ = 419489280. Its totient is φ = 63744000.

The previous prime is 166241123. The next prime is 166241161. The reversal of 166241152 is 251142661.

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

It is a super-2 number, since 2×166241152² = 55272241236574208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (2880) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 166241152.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 995373 + ... + 995539.

It is an arithmetic number, because the mean of its divisors is an integer number (3277260).

Almost surely, 2^166241152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640).

166241152 is an abundant number, since it is smaller than the sum of its proper divisors (253248128).

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

166241152 is a wasteful number, since it uses less digits than its factorization.

166241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 166241152 is about 12893.4538429391. The cubic root of 166241152 is about 549.8524695213.

The spelling of 166241152 in words is "one hundred sixty-six million, two hundred forty-one thousand, one hundred fifty-two".