135441266240 has 56 divisors (see below), whose sum is σ = 368593737792. Its totient is φ = 46437004800.

The previous prime is 135441266209. The next prime is 135441266269. The reversal of 135441266240 is 42662144531.

135441266240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 135441266194 and 135441266203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30230186 + ... + 30234665.

It is an arithmetic number, because the mean of its divisors is an integer number (6582031032).

Almost surely, 2^135441266240 is an apocalyptic number.

135441266240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135441266240 is an abundant number, since it is smaller than the sum of its proper divisors (233152471552).

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

135441266240 is an equidigital number, since it uses as much as digits as its factorization.

135441266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60464875 (or 60464865 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 135441266240 in words is "one hundred thirty-five billion, four hundred forty-one million, two hundred sixty-six thousand, two hundred forty".