135865359360 has 528 divisors, whose sum is σ = 485589012480. Its totient is φ = 35104849920.

The previous prime is 135865359307. The next prime is 135865359481. The reversal of 135865359360 is 63953568531.

It is a happy number.

135865359360 is a `hidden beast` number, since 1 + 3 + 586 + 5 + 3 + 59 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135865359297 and 135865359306.

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, 378454861 + ... + 378455219.

It is an arithmetic number, because the mean of its divisors is an integer number (919676160).

Almost surely, 2^135865359360 is an apocalyptic number.

135865359360 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 135865359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242794506240).

135865359360 is an abundant number, since it is smaller than the sum of its proper divisors (349723653120).

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

135865359360 is a wasteful number, since it uses less digits than its factorization.

135865359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 135865359360 in words is "one hundred thirty-five billion, eight hundred sixty-five million, three hundred fifty-nine thousand, three hundred sixty".