166813152 has 96 divisors (see below), whose sum is σ = 488001024. Its totient is φ = 49459200.

The previous prime is 166813109. The next prime is 166813169. The reversal of 166813152 is 251318661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47952 + ... + 51312.

It is an arithmetic number, because the mean of its divisors is an integer number (5083344).

Almost surely, 2^166813152 is an apocalyptic number.

166813152 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 166813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244000512).

166813152 is an abundant number, since it is smaller than the sum of its proper divisors (321187872).

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

166813152 is a wasteful number, since it uses less digits than its factorization.

166813152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3424 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 166813152 is about 12915.6165938758. The cubic root of 166813152 is about 550.4823889083.

It can be divided in two parts, 166 and 813152, that added together give a palindrome (813318).

The spelling of 166813152 in words is "one hundred sixty-six million, eight hundred thirteen thousand, one hundred fifty-two".