166138240 has 64 divisors (see below), whose sum is σ = 406478160. Its totient is φ = 64899072.

The previous prime is 166138211. The next prime is 166138241. The reversal of 166138240 is 42831661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166138241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24502 + ... + 30538.

Almost surely, 2^166138240 is an apocalyptic number.

166138240 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 166138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203239080).

166138240 is an abundant number, since it is smaller than the sum of its proper divisors (240339920).

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

166138240 is an equidigital number, since it uses as much as digits as its factorization.

166138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 166138240 is about 12889.4623627210. The cubic root of 166138240 is about 549.7389835857.

The spelling of 166138240 in words is "one hundred sixty-six million, one hundred thirty-eight thousand, two hundred forty".