135422880139872 has 288 divisors, whose sum is σ = 428777079284736. Its totient is φ = 40261695667200.

The previous prime is 135422880139831. The next prime is 135422880139879. The reversal of 135422880139872 is 278931088224531.

135422880139872 is a `hidden beast` number, since 1 + 3 + 5 + 422 + 8 + 8 + 0 + 139 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135422880139879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73721847 + ... + 75536457.

It is an arithmetic number, because the mean of its divisors is an integer number (1488809303072).

Almost surely, 2^{135422880139872} is an apocalyptic number.

135422880139872 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 135422880139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214388539642368).

135422880139872 is an abundant number, since it is smaller than the sum of its proper divisors (293354199144864).

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

135422880139872 is a wasteful number, since it uses less digits than its factorization.

135422880139872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815314 (or 1815303 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 135422880139872 in words is "one hundred thirty-five trillion, four hundred twenty-two billion, eight hundred eighty million, one hundred thirty-nine thousand, eight hundred seventy-two".