135259082127360 has 576 divisors, whose sum is σ = 473128837534080. Its totient is φ = 35736256512000.

The previous prime is 135259082127329. The next prime is 135259082127409. The reversal of 135259082127360 is 63721280952531.

135259082127360 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 590 + 8 + 2 + 12 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 135259082127297 and 135259082127306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4520525200 + ... + 4520555120.

It is an arithmetic number, because the mean of its divisors is an integer number (821404231830).

Almost surely, 2^{135259082127360} is an apocalyptic number.

135259082127360 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 135259082127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236564418767040).

135259082127360 is an abundant number, since it is smaller than the sum of its proper divisors (337869755406720).

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

135259082127360 is a wasteful number, since it uses less digits than its factorization.

135259082127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30406 (or 30383 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 135259082127360 in words is "one hundred thirty-five trillion, two hundred fifty-nine billion, eighty-two million, one hundred twenty-seven thousand, three hundred sixty".