166345536 has 112 divisors (see below), whose sum is σ = 511495040. Its totient is φ = 46725120.

The previous prime is 166345511. The next prime is 166345541. The reversal of 166345536 is 635543661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 166345494 and 166345503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80970 + ... + 82998.

It is an arithmetic number, because the mean of its divisors is an integer number (4566920).

Almost surely, 2^166345536 is an apocalyptic number.

166345536 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 166345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255747520).

166345536 is an abundant number, since it is smaller than the sum of its proper divisors (345149504).

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

166345536 is a wasteful number, since it uses less digits than its factorization.

166345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2102 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 166345536 is about 12897.5011533242. The cubic root of 166345536 is about 549.9675308656.

The spelling of 166345536 in words is "one hundred sixty-six million, three hundred forty-five thousand, five hundred thirty-six".