135052954344 has 640 divisors, whose sum is σ = 504132076800. Its totient is φ = 32699842560.

The previous prime is 135052954343. The next prime is 135052954367. The reversal of 135052954344 is 443459250531.

135052954344 is a `hidden beast` number, since 1 + 3 + 50 + 52 + 9 + 543 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135052954344.

It is not an unprimeable number, because it can be changed into a prime (135052954343) 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 159 ways as a sum of consecutive naturals, for example, 95849512 + ... + 95850920.

It is an arithmetic number, because the mean of its divisors is an integer number (787706370).

Almost surely, 2^135052954344 is an apocalyptic number.

135052954344 is a gapful number since it is divisible by the number (14) 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 135052954344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252066038400).

135052954344 is an abundant number, since it is smaller than the sum of its proper divisors (369079122456).

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

135052954344 is a wasteful number, since it uses less digits than its factorization.

135052954344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 135052954344 in words is "one hundred thirty-five billion, fifty-two million, nine hundred fifty-four thousand, three hundred forty-four".