182000201838 has 96 divisors (see below), whose sum is σ = 460437755904. Its totient is φ = 46702562688.

The previous prime is 182000201827. The next prime is 182000201849. The reversal of 182000201838 is 838102000281.

182000201838 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 (182000201827) and next prime (182000201849).

It is a junction number, because it is equal to n+sod(n) for n = 182000201799 and 182000201808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625731 + ... + 869217.

It is an arithmetic number, because the mean of its divisors is an integer number (4796226624).

Almost surely, 2^182000201838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182000201838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230218877952).

182000201838 is an abundant number, since it is smaller than the sum of its proper divisors (278437554066).

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

182000201838 is a wasteful number, since it uses less digits than its factorization.

182000201838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243586 (or 243549 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 182000201838 in words is "one hundred eighty-two billion, two hundred one thousand, eight hundred thirty-eight".