180813754347138 has 48 divisors (see below), whose sum is σ = 427379133763296. Its totient is φ = 54791896907520.

The previous prime is 180813754346987. The next prime is 180813754347139. The reversal of 180813754347138 is 831743457318081.

180813754347138 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 1 + 37 + 543 + 47 + 13 + 8 = 666.

180813754347138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180813754347138² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180813754347139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87050481 + ... + 89103387.

It is an arithmetic number, because the mean of its divisors is an integer number (8903731953402).

Almost surely, 2^{180813754347138} is an apocalyptic number.

180813754347138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

180813754347138 is an abundant number, since it is smaller than the sum of its proper divisors (246565379416158).

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

180813754347138 is a wasteful number, since it uses less digits than its factorization.

180813754347138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497759 (or 2497756 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 180813754347138 in words is "one hundred eighty trillion, eight hundred thirteen billion, seven hundred fifty-four million, three hundred forty-seven thousand, one hundred thirty-eight".