165145574452100 has 144 divisors (see below), whose sum is σ = 400146938290176. Its totient is φ = 58640140944000.

The previous prime is 165145574452093. The next prime is 165145574452171. The reversal of 165145574452100 is 1254475541561.

165145574452100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165145574452100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171265517 + ... + 172227083.

Almost surely, 2^{165145574452100} is an apocalyptic number.

165145574452100 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 165145574452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200073469145088).

165145574452100 is an abundant number, since it is smaller than the sum of its proper divisors (235001363838076).

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

165145574452100 is a wasteful number, since it uses less digits than its factorization.

165145574452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965266 (or 965259 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 50.

The spelling of 165145574452100 in words is "one hundred sixty-five trillion, one hundred forty-five billion, five hundred seventy-four million, four hundred fifty-two thousand, one hundred".