135510345005000 has 240 divisors, whose sum is σ = 391063346405820. Its totient is φ = 43727706624000.

The previous prime is 135510345004997. The next prime is 135510345005033. The reversal of 135510345005000 is 500543015531.

It can be written as a sum of positive squares in 10 ways, for example, as 9209294841124 + 126301050163876 = 3034682^2 + 11238374^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12102749 + ... + 20432748.

Almost surely, 2^{135510345005000} is an apocalyptic number.

135510345005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135510345005000 is an abundant number, since it is smaller than the sum of its proper divisors (255553001400820).

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

135510345005000 is a wasteful number, since it uses less digits than its factorization.

135510345005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32535554 (or 32535528 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 135510345005000 in words is "one hundred thirty-five trillion, five hundred ten billion, three hundred forty-five million, five thousand".