166146336 has 192 divisors, whose sum is σ = 529200000. Its totient is φ = 50512896.

The previous prime is 166146311. The next prime is 166146359. The reversal of 166146336 is 633641661.

166146336 is a `hidden beast` number, since 1 + 6 + 6 + 14 + 633 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 166146336.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475890 + ... + 476238.

It is an arithmetic number, because the mean of its divisors is an integer number (2756250).

Almost surely, 2^166146336 is an apocalyptic number.

166146336 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 166146336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264600000).

166146336 is an abundant number, since it is smaller than the sum of its proper divisors (363053664).

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

166146336 is a wasteful number, since it uses less digits than its factorization.

166146336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 166146336 is about 12889.7764138871. The cubic root of 166146336 is about 549.7479131264.

Adding to 166146336 its reverse (633641661), we get a palindrome (799787997).

The spelling of 166146336 in words is "one hundred sixty-six million, one hundred forty-six thousand, three hundred thirty-six".