135245516544 has 108 divisors (see below), whose sum is σ = 390337843896. Its totient is φ = 45036558336.

The previous prime is 135245516543. The next prime is 135245516561. The reversal of 135245516544 is 445615542531.

135245516544 is a `hidden beast` number, since 1 + 3 + 52 + 4 + 5 + 51 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135245516544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135245516543) 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 11 ways as a sum of consecutive naturals, for example, 2304979 + ... + 2362925.

Almost surely, 2^135245516544 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 135245516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195168921948).

135245516544 is an abundant number, since it is smaller than the sum of its proper divisors (255092327352).

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

135245516544 is a wasteful number, since it uses less digits than its factorization.

135245516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58982 (or 58965 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 135245516544 in words is "one hundred thirty-five billion, two hundred forty-five million, five hundred sixteen thousand, five hundred forty-four".