166134816 has 72 divisors (see below), whose sum is σ = 475478640. Its totient is φ = 55022976.

The previous prime is 166134791. The next prime is 166134833. The reversal of 166134816 is 618431661.

166134816 is a `hidden beast` number, since 166 + 13 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45175 + ... + 48713.

It is an arithmetic number, because the mean of its divisors is an integer number (6603870).

Almost surely, 2^166134816 is an apocalyptic number.

166134816 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 166134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237739320).

166134816 is an abundant number, since it is smaller than the sum of its proper divisors (309343824).

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

166134816 is a wasteful number, since it uses less digits than its factorization.

166134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3707 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 166134816 is about 12889.3295403601. The cubic root of 166134816 is about 549.7352069733.

The spelling of 166134816 in words is "one hundred sixty-six million, one hundred thirty-four thousand, eight hundred sixteen".