135600778558080 has 384 divisors, whose sum is σ = 512206248902400. Its totient is φ = 32783338414080.

The previous prime is 135600778558061. The next prime is 135600778558087. The reversal of 135600778558080 is 80855877006531.

135600778558080 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 0 + 7 + 78 + 558 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×135600778558080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135600778557999 and 135600778558017.

It is not an unprimeable number, because it can be changed into a prime (135600778558087) 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, 20337366 + ... + 26168874.

It is an arithmetic number, because the mean of its divisors is an integer number (1333870439850).

Almost surely, 2^{135600778558080} is an apocalyptic number.

135600778558080 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 135600778558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256103124451200).

135600778558080 is an abundant number, since it is smaller than the sum of its proper divisors (376605470344320).

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

135600778558080 is a wasteful number, since it uses less digits than its factorization.

135600778558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831912 (or 5831897 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 135600778558080 in words is "one hundred thirty-five trillion, six hundred billion, seven hundred seventy-eight million, five hundred fifty-eight thousand, eighty".