166542912 has 112 divisors (see below), whose sum is σ = 505561600. Its totient is φ = 53706240.

The previous prime is 166542877. The next prime is 166542917. The reversal of 166542912 is 219245661.

166542912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (166542917) 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, 52014 + ... + 55122.

Almost surely, 2^166542912 is an apocalyptic number.

166542912 is a gapful number since it is divisible by the number (12) 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 166542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252780800).

166542912 is an abundant number, since it is smaller than the sum of its proper divisors (339018688).

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

166542912 is a wasteful number, since it uses less digits than its factorization.

166542912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3145 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 166542912 is about 12905.1505996637. The cubic root of 166542912 is about 550.1849647867.

The spelling of 166542912 in words is "one hundred sixty-six million, five hundred forty-two thousand, nine hundred twelve".