135825537312 has 192 divisors, whose sum is σ = 414935136000. Its totient is φ = 43144003584.

The previous prime is 135825537307. The next prime is 135825537319. The reversal of 135825537312 is 213735528531.

135825537312 is a `hidden beast` number, since 1 + 3 + 5 + 82 + 5 + 537 + 31 + 2 = 666.

135825537312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135825537319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5332864 + ... + 5358272.

It is an arithmetic number, because the mean of its divisors is an integer number (2161120500).

Almost surely, 2^135825537312 is an apocalyptic number.

135825537312 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 135825537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207467568000).

135825537312 is an abundant number, since it is smaller than the sum of its proper divisors (279109598688).

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

135825537312 is a wasteful number, since it uses less digits than its factorization.

135825537312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25720 (or 25706 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 135825537312 in words is "one hundred thirty-five billion, eight hundred twenty-five million, five hundred thirty-seven thousand, three hundred twelve".