166129992 has 180 divisors, whose sum is σ = 542371635. Its totient is φ = 45934560.

The previous prime is 166129979. The next prime is 166129993. The reversal of 166129992 is 299921661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

166129992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 83064996 = 9114^2 + 9114^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9114.

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

It is not an unprimeable number, because it can be changed into a prime (166129993) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5359017 + ... + 5359047.

Almost surely, 2^166129992 is an apocalyptic number.

166129992 is a gapful number since it is divisible by the number (12) 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 166129992

166129992 is an abundant number, since it is smaller than the sum of its proper divisors (376241643).

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

166129992 is an equidigital number, since it uses as much as digits as its factorization.

166129992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 166129992 is about 12889.1424074684. The cubic root of 166129992 is about 549.7298860972.

The spelling of 166129992 in words is "one hundred sixty-six million, one hundred twenty-nine thousand, nine hundred ninety-two".