135512312255320 has 768 divisors, whose sum is σ = 416793821875200. Its totient is φ = 38582620876800.

The previous prime is 135512312255311. The next prime is 135512312255323. The reversal of 135512312255320 is 23552213215531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135512312255323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21867402462 + ... + 21867408658.

It is an arithmetic number, because the mean of its divisors is an integer number (542700288900).

Almost surely, 2^{135512312255320} is an apocalyptic number.

135512312255320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135512312255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208396910937600).

135512312255320 is an abundant number, since it is smaller than the sum of its proper divisors (281281509619880).

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

135512312255320 is a wasteful number, since it uses less digits than its factorization.

135512312255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 135512312255320 in words is "one hundred thirty-five trillion, five hundred twelve billion, three hundred twelve million, two hundred fifty-five thousand, three hundred twenty".