135518618000 has 40 divisors (see below), whose sum is σ = 327684023160. Its totient is φ = 54207446400.

The previous prime is 135518617973. The next prime is 135518618003. The reversal of 135518618000 is 816815531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 767954944 + 134750663056 = 27712^2 + 367084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (135518618003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33877655 + ... + 33881654.

It is an arithmetic number, because the mean of its divisors is an integer number (8192100579).

Almost surely, 2^135518618000 is an apocalyptic number.

135518618000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135518618000 is an abundant number, since it is smaller than the sum of its proper divisors (192165405160).

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

135518618000 is an equidigital number, since it uses as much as digits as its factorization.

135518618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67759332 (or 67759316 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 135518618000 in words is "one hundred thirty-five billion, five hundred eighteen million, six hundred eighteen thousand".