135636641280 has 720 divisors, whose sum is σ = 549611496720. Its totient is φ = 30823317504.

The previous prime is 135636641251. The next prime is 135636641311. The reversal of 135636641280 is 82146636531.

135636641280 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 366 + 4 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357880131 + ... + 357880509.

It is an arithmetic number, because the mean of its divisors is an integer number (763349301).

Almost surely, 2^135636641280 is an apocalyptic number.

135636641280 is a gapful number since it is divisible by the number (10) 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 135636641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274805748360).

135636641280 is an abundant number, since it is smaller than the sum of its proper divisors (413974855440).

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

135636641280 is a wasteful number, since it uses less digits than its factorization.

135636641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135636641280 in words is "one hundred thirty-five billion, six hundred thirty-six million, six hundred forty-one thousand, two hundred eighty".