166163136 has 56 divisors (see below), whose sum is σ = 441228480. Its totient is φ = 55187712.

The previous prime is 166163071. The next prime is 166163141. The reversal of 166163136 is 631361661.

166163136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166163136² = 55220375530708992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 166163097 and 166163106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57535 + ... + 60353.

It is an arithmetic number, because the mean of its divisors is an integer number (7879080).

Almost surely, 2^166163136 is an apocalyptic number.

166163136 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 166163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220614240).

166163136 is an abundant number, since it is smaller than the sum of its proper divisors (275065344).

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

166163136 is a wasteful number, since it uses less digits than its factorization.

166163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3131 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 166163136 is about 12890.4280766777. The cubic root of 166163136 is about 549.7664418802.

The spelling of 166163136 in words is "one hundred sixty-six million, one hundred sixty-three thousand, one hundred thirty-six".