135744027151488 has 128 divisors (see below), whose sum is σ = 412087200645120. Its totient is φ = 38783337808896.

The previous prime is 135744027151417. The next prime is 135744027151501. The reversal of 135744027151488 is 884151720447531.

135744027151488 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 (128).

It is a super-2 number, since 2×135744027151488² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167183745 + ... + 167993727.

It is an arithmetic number, because the mean of its divisors is an integer number (3219431255040).

Almost surely, 2^{135744027151488} is an apocalyptic number.

It is an amenable number.

135744027151488 is an abundant number, since it is smaller than the sum of its proper divisors (276343173493632).

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

135744027151488 is an equidigital number, since it uses as much as digits as its factorization.

135744027151488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872354 (or 872342 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 60.

The spelling of 135744027151488 in words is "one hundred thirty-five trillion, seven hundred forty-four billion, twenty-seven million, one hundred fifty-one thousand, four hundred eighty-eight".