135300246004344 has 128 divisors (see below), whose sum is σ = 359750354745600. Its totient is φ = 42282809118720.

The previous prime is 135300246004279. The next prime is 135300246004373. The reversal of 135300246004344 is 443400642003531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643780159 + ... + 643990289.

It is an arithmetic number, because the mean of its divisors is an integer number (2810549646450).

Almost surely, 2^{135300246004344} 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 135300246004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179875177372800).

135300246004344 is an abundant number, since it is smaller than the sum of its proper divisors (224450108741256).

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

135300246004344 is a wasteful number, since it uses less digits than its factorization.

135300246004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224813 (or 224809 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 135300246004344 its reverse (443400642003531), we get a palindrome (578700888007875).

The spelling of 135300246004344 in words is "one hundred thirty-five trillion, three hundred billion, two hundred forty-six million, four thousand, three hundred forty-four".