166211136 has 336 divisors, whose sum is σ = 616183680. Its totient is φ = 43545600.

The previous prime is 166211117. The next prime is 166211137. The reversal of 166211136 is 631112661.

166211136 is a `hidden beast` number, since 1 + 6 + 621 + 1 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×166211136² = 55252283460820992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (166211137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1100661 + ... + 1100811.

It is an arithmetic number, because the mean of its divisors is an integer number (1833880).

Almost surely, 2^166211136 is an apocalyptic number.

166211136 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 166211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308091840).

166211136 is an abundant number, since it is smaller than the sum of its proper divisors (449972544).

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

166211136 is a wasteful number, since it uses less digits than its factorization.

166211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 166211136 is about 12892.2897888622. The cubic root of 166211136 is about 549.8193742960.

Adding to 166211136 its reverse (631112661), we get a palindrome (797323797).

The spelling of 166211136 in words is "one hundred sixty-six million, two hundred eleven thousand, one hundred thirty-six".