182164146144 has 24 divisors (see below), whose sum is σ = 478180883880. Its totient is φ = 60721382016.

The previous prime is 182164146121. The next prime is 182164146161. The reversal of 182164146144 is 441641461281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×182164146144³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 182164146096 and 182164146105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 948771499 + ... + 948771690.

It is an arithmetic number, because the mean of its divisors is an integer number (19924203495).

Almost surely, 2^182164146144 is an apocalyptic number.

It is an amenable number.

182164146144 is an abundant number, since it is smaller than the sum of its proper divisors (296016737736).

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

182164146144 is a wasteful number, since it uses less digits than its factorization.

182164146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897543202 (or 1897543194 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 182164146144 in words is "one hundred eighty-two billion, one hundred sixty-four million, one hundred forty-six thousand, one hundred forty-four".