166131840 has 256 divisors, whose sum is σ = 620421120. Its totient is φ = 37023744.

The previous prime is 166131811. The next prime is 166131857. The reversal of 166131840 is 48131661.

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 = 166131798 and 166131807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631549 + ... + 631811.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2^166131840 is an apocalyptic number.

166131840 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 166131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560).

166131840 is an abundant number, since it is smaller than the sum of its proper divisors (454289280).

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

166131840 is a wasteful number, since it uses less digits than its factorization.

166131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 166131840 is about 12889.2140955141. The cubic root of 166131840 is about 549.7319244549.

The spelling of 166131840 in words is "one hundred sixty-six million, one hundred thirty-one thousand, eight hundred forty".