166133376 has 128 divisors (see below), whose sum is σ = 500126400. Its totient is φ = 54273024.

The previous prime is 166133329. The next prime is 166133377. The reversal of 166133376 is 673331661.

166133376 is a `hidden beast` number, since 1 + 6 + 613 + 3 + 37 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 166133376.

It is not an unprimeable number, because it can be changed into a prime (166133377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182715 + ... + 183621.

Almost surely, 2^166133376 is an apocalyptic number.

166133376 is a gapful number since it is divisible by the number (16) 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 166133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250063200).

166133376 is an abundant number, since it is smaller than the sum of its proper divisors (333993024).

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

166133376 is an equidigital number, since it uses as much as digits as its factorization.

166133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 166133376 is about 12889.2736800799. The cubic root of 166133376 is about 549.7336186628.

The spelling of 166133376 in words is "one hundred sixty-six million, one hundred thirty-three thousand, three hundred seventy-six".