182135000100 has 144 divisors (see below), whose sum is σ = 536290050240. Its totient is φ = 47712192000.

The previous prime is 182135000087. The next prime is 182135000101. The reversal of 182135000100 is 1000531281.

182135000100 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 2×182135000100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (182135000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33644994 + ... + 33650406.

It is an arithmetic number, because the mean of its divisors is an integer number (3724236460).

Almost surely, 2^182135000100 is an apocalyptic number.

182135000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

182135000100 is the 228120-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182135000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268145025120).

182135000100 is an abundant number, since it is smaller than the sum of its proper divisors (354155050140).

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

182135000100 is a wasteful number, since it uses less digits than its factorization.

182135000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 182135000100 its reverse (1000531281), we get a palindrome (183135531381).

The spelling of 182135000100 in words is "one hundred eighty-two billion, one hundred thirty-five million, one hundred", and thus it is an aban number.