135520153303440 has 40 divisors (see below), whose sum is σ = 420112475241408. Its totient is φ = 36138707547520.

The previous prime is 135520153303417. The next prime is 135520153303441. The reversal of 135520153303440 is 44303351025531.

135520153303440 is digitally balanced in base 4, 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 (40).

It is not an unprimeable number, because it can be changed into a prime (135520153303441) 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, 282333652476 + ... + 282333652955.

Almost surely, 2^{135520153303440} is an apocalyptic number.

135520153303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135520153303440 is an abundant number, since it is smaller than the sum of its proper divisors (284592321937968).

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

135520153303440 is a wasteful number, since it uses less digits than its factorization.

135520153303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564667305447 (or 564667305441 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 135520153303440 in words is "one hundred thirty-five trillion, five hundred twenty billion, one hundred fifty-three million, three hundred three thousand, four hundred forty".