135498401482752 has 2016 divisors, whose sum is σ = 519152030036640. Its totient is φ = 34944612433920.

The previous prime is 135498401482669. The next prime is 135498401482757. The reversal of 135498401482752 is 257284104894531.

135498401482752 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 84 + 0 + 1 + 482 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 135498401482752.

It is not an unprimeable number, because it can be changed into a prime (135498401482757) 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 167 ways as a sum of consecutive naturals, for example, 131169797628 + ... + 131169798660.

It is an arithmetic number, because the mean of its divisors is an integer number (257515887915).

Almost surely, 2^{135498401482752} is an apocalyptic number.

135498401482752 is a gapful number since it is divisible by the number (12) 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 135498401482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259576015018320).

135498401482752 is an abundant number, since it is smaller than the sum of its proper divisors (383653628553888).

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

135498401482752 is a wasteful number, since it uses less digits than its factorization.

135498401482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 135498401482752 in words is "one hundred thirty-five trillion, four hundred ninety-eight billion, four hundred one million, four hundred eighty-two thousand, seven hundred fifty-two".