135487901086824 has 256 divisors, whose sum is σ = 401710720481280. Its totient is φ = 37539360875520.

The previous prime is 135487901086801. The next prime is 135487901086843. The reversal of 135487901086824 is 428680109784531.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3234120822 + ... + 3234162714.

It is an arithmetic number, because the mean of its divisors is an integer number (1569182501880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅135487901086824 = 270975802173648, but 3⋅135487901086824 = 406463703260472 is not.

Almost surely, 2^{135487901086824} 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 135487901086824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200855360240640).

135487901086824 is an abundant number, since it is smaller than the sum of its proper divisors (266222819394456).

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

135487901086824 is a wasteful number, since it uses less digits than its factorization.

135487901086824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50840 (or 50836 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 135487901086824 in words is "one hundred thirty-five trillion, four hundred eighty-seven billion, nine hundred one million, eighty-six thousand, eight hundred twenty-four".