166561542 has 64 divisors (see below), whose sum is σ = 427852800. Its totient is φ = 47044800.

The previous prime is 166561523. The next prime is 166561553. The reversal of 166561542 is 245165661.

166561542 is a `hidden beast` number, since 1 + 66 + 56 + 1 + 542 = 666.

166561542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166561497 and 166561506.

It is a congruent number.

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, 31167 + ... + 36117.

It is an arithmetic number, because the mean of its divisors is an integer number (6685200).

Almost surely, 2^166561542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166561542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213926400).

166561542 is an abundant number, since it is smaller than the sum of its proper divisors (261291258).

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

166561542 is a wasteful number, since it uses less digits than its factorization.

166561542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5052 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166561542 is about 12905.8723843063. The cubic root of 166561542 is about 550.2054791466.

The spelling of 166561542 in words is "one hundred sixty-six million, five hundred sixty-one thousand, five hundred forty-two".