135963089280 has 192 divisors, whose sum is σ = 476506321200. Its totient is φ = 35715575808.

The previous prime is 135963089267. The next prime is 135963089321. The reversal of 135963089280 is 82980369531.

135963089280 is a `hidden beast` number, since 1 + 3 + 59 + 6 + 308 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×135963089280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209766 + ... + 562074.

Almost surely, 2^135963089280 is an apocalyptic number.

135963089280 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 135963089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238253160600).

135963089280 is an abundant number, since it is smaller than the sum of its proper divisors (340543231920).

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

135963089280 is a wasteful number, since it uses less digits than its factorization.

135963089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352401 (or 352386 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 135963089280 in words is "one hundred thirty-five billion, nine hundred sixty-three million, eighty-nine thousand, two hundred eighty".