135053568000 has 1152 divisors, whose sum is σ = 546911688960. Its totient is φ = 33044889600.

The previous prime is 135053567927. The next prime is 135053568071. The reversal of 135053568000 is 865350531.

135053568000 is a `hidden beast` number, since 13 + 50 + 535 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808703917 + ... + 808704083.

It is an arithmetic number, because the mean of its divisors is an integer number (474749730).

Almost surely, 2^135053568000 is an apocalyptic number.

135053568000 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 135053568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273455844480).

135053568000 is an abundant number, since it is smaller than the sum of its proper divisors (411858120960).

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

135053568000 is an equidigital number, since it uses as much as digits as its factorization.

135053568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 135053568000 in words is "one hundred thirty-five billion, fifty-three million, five hundred sixty-eight thousand".