166086144 has 240 divisors, whose sum is σ = 578772480. Its totient is φ = 44789760.

The previous prime is 166086113. The next prime is 166086181. The reversal of 166086144 is 441680661.

166086144 is a `hidden beast` number, since 1 + 6 + 608 + 6 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 166086099 and 166086108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612729 + ... + 612999.

It is an arithmetic number, because the mean of its divisors is an integer number (2411552).

Almost surely, 2^166086144 is an apocalyptic number.

166086144 is a gapful number since it is divisible by the number (14) 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 166086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289386240).

166086144 is an abundant number, since it is smaller than the sum of its proper divisors (412686336).

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

166086144 is a wasteful number, since it uses less digits than its factorization.

166086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166086144 is about 12887.4413286734. The cubic root of 166086144 is about 549.6815169922.

The spelling of 166086144 in words is "one hundred sixty-six million, eighty-six thousand, one hundred forty-four".