165700406124 has 216 divisors, whose sum is σ = 467549540640. Its totient is φ = 49436766720.

The previous prime is 165700406119. The next prime is 165700406129. The reversal of 165700406124 is 421604007561.

165700406124 is a `hidden beast` number, since 1 + 6 + 570 + 0 + 4 + 0 + 61 + 24 = 666.

165700406124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165700406119) and next prime (165700406129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165700406129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107387697 + ... + 107389239.

Almost surely, 2^165700406124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165700406124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233774770320).

165700406124 is an abundant number, since it is smaller than the sum of its proper divisors (301849134516).

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

165700406124 is a wasteful number, since it uses less digits than its factorization.

165700406124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 165700406124 in words is "one hundred sixty-five billion, seven hundred million, four hundred six thousand, one hundred twenty-four".