135304155213440 has 64 divisors (see below), whose sum is σ = 324873992025000. Its totient is φ = 53885322891264.

The previous prime is 135304155213413. The next prime is 135304155213527. The reversal of 135304155213440 is 44312551403531.

It can be written as a sum of positive squares in 4 ways, for example, as 101232091925056 + 34072063288384 = 10061416^2 + 5837128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461453315 + ... + 461746434.

Almost surely, 2^{135304155213440} is an apocalyptic number.

135304155213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135304155213440 is an abundant number, since it is smaller than the sum of its proper divisors (189569836811560).

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

135304155213440 is an equidigital number, since it uses as much as digits as its factorization.

135304155213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923199997 (or 923199985 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 135304155213440 in words is "one hundred thirty-five trillion, three hundred four billion, one hundred fifty-five million, two hundred thirteen thousand, four hundred forty".