135589800960000 has 1120 divisors, whose sum is σ = 508232521658400. Its totient is φ = 36154294272000.

The previous prime is 135589800959953. The next prime is 135589800960161. The reversal of 135589800960000 is 69008985531.

It is a happy number.

135589800960000 is a `hidden beast` number, since 1 + 3 + 558 + 9 + 80 + 0 + 9 + 6 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11197433946 + ... + 11197446054.

It is an arithmetic number, because the mean of its divisors is an integer number (453779037195).

Almost surely, 2^{135589800960000} is an apocalyptic number.

135589800960000 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 135589800960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254116260829200).

135589800960000 is an abundant number, since it is smaller than the sum of its proper divisors (372642720698400).

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

135589800960000 is an frugal number, since it uses more digits than its factorization.

135589800960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 135589800960000 in words is "one hundred thirty-five trillion, five hundred eighty-nine billion, eight hundred million, nine hundred sixty thousand".