166132165140 has 72 divisors (see below), whose sum is σ = 504409775688. Its totient is φ = 44260104960.

The previous prime is 166132165127. The next prime is 166132165141. The reversal of 166132165140 is 41561231661.

166132165140 is a `hidden beast` number, since 1 + 6 + 6 + 132 + 1 + 6 + 514 + 0 = 666.

166132165140 is digitally balanced in base 3, 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 4 ways, for example, as 30272004 + 166101893136 = 5502^2 + 407556^2 .

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 = 166132165095 and 166132165104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166132165141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243967 + ... + 625926.

It is an arithmetic number, because the mean of its divisors is an integer number (7005691329).

Almost surely, 2^166132165140 is an apocalyptic number.

166132165140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166132165140 is an abundant number, since it is smaller than the sum of its proper divisors (338277610548).

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

166132165140 is a wasteful number, since it uses less digits than its factorization.

166132165140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870969 (or 870964 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 166132165140 in words is "one hundred sixty-six billion, one hundred thirty-two million, one hundred sixty-five thousand, one hundred forty".