135253520305512 has 128 divisors (see below), whose sum is σ = 409241117491200. Its totient is φ = 36364400851968.

The previous prime is 135253520305507. The next prime is 135253520305513. The reversal of 135253520305512 is 215503025352531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135253520305513) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12421689 + ... + 20610807.

It is an arithmetic number, because the mean of its divisors is an integer number (3197196230400).

Almost surely, 2^{135253520305512} is an apocalyptic number.

135253520305512 is a gapful number since it is divisible by the number (12) 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 135253520305512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204620558745600).

135253520305512 is an abundant number, since it is smaller than the sum of its proper divisors (273987597185688).

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

135253520305512 is a wasteful number, since it uses less digits than its factorization.

135253520305512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194935 (or 8194931 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 42.

The spelling of 135253520305512 in words is "one hundred thirty-five trillion, two hundred fifty-three billion, five hundred twenty million, three hundred five thousand, five hundred twelve".