135963485656320 has 576 divisors, whose sum is σ = 523810141102080. Its totient is φ = 29361454055424.

The previous prime is 135963485656319. The next prime is 135963485656373. The reversal of 135963485656320 is 23656584369531.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 187071544 + ... + 187796936.

It is an arithmetic number, because the mean of its divisors is an integer number (909392606080).

Almost surely, 2^{135963485656320} is an apocalyptic number.

135963485656320 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 135963485656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261905070551040).

135963485656320 is an abundant number, since it is smaller than the sum of its proper divisors (387846655445760).

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

135963485656320 is a wasteful number, since it uses less digits than its factorization.

135963485656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725810 (or 725796 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 66.

The spelling of 135963485656320 in words is "one hundred thirty-five trillion, nine hundred sixty-three billion, four hundred eighty-five million, six hundred fifty-six thousand, three hundred twenty".