166146240 has 112 divisors (see below), whose sum is σ = 568135008. Its totient is φ = 40894464.

The previous prime is 166146223. The next prime is 166146247. The reversal of 166146240 is 42641661.

166146240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166146240² = 55209146132275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 166146198 and 166146207.

It is not an unprimeable number, because it can be changed into a prime (166146247) 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, 5824 + ... + 19136.

It is an arithmetic number, because the mean of its divisors is an integer number (5072634).

Almost surely, 2^166146240 is an apocalyptic number.

166146240 is a gapful number since it is divisible by the number (10) 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 166146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284067504).

166146240 is an abundant number, since it is smaller than the sum of its proper divisors (401988768).

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

166146240 is a wasteful number, since it uses less digits than its factorization.

166146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346 (or 13336 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 166146240 is about 12889.7726900050. The cubic root of 166146240 is about 549.7478072442.

The spelling of 166146240 in words is "one hundred sixty-six million, one hundred forty-six thousand, two hundred forty".