135066145344 has 224 divisors, whose sum is σ = 392764694784. Its totient is φ = 40710021120.

The previous prime is 135066145217. The next prime is 135066145349. The reversal of 135066145344 is 443541660531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135066145296 and 135066145305.

It is not an unprimeable number, because it can be changed into a prime (135066145349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40041642 + ... + 40045014.

It is an arithmetic number, because the mean of its divisors is an integer number (1753413816).

Almost surely, 2^135066145344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135066145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196382347392).

135066145344 is an abundant number, since it is smaller than the sum of its proper divisors (257698549440).

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

135066145344 is a wasteful number, since it uses less digits than its factorization.

135066145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 135066145344 in words is "one hundred thirty-five billion, sixty-six million, one hundred forty-five thousand, three hundred forty-four".