135632249702532 has 864 divisors, whose sum is σ = 416472711782400. Its totient is φ = 37041193728000.

The previous prime is 135632249702407. The next prime is 135632249702549. The reversal of 135632249702532 is 235207942236531.

135632249702532 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 32 + 2 + 4 + 9 + 70 + 2 + 532 = 666.

It is a super-3 number, since 3×135632249702532³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 76326532428 + ... + 76326534204.

It is an arithmetic number, because the mean of its divisors is an integer number (482028601600).

Almost surely, 2^{135632249702532} is an apocalyptic number.

135632249702532 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 135632249702532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208236355891200).

135632249702532 is an abundant number, since it is smaller than the sum of its proper divisors (280840462079868).

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

135632249702532 is a wasteful number, since it uses less digits than its factorization.

135632249702532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 135632249702532 in words is "one hundred thirty-five trillion, six hundred thirty-two billion, two hundred forty-nine million, seven hundred two thousand, five hundred thirty-two".