135308484576000 has 432 divisors, whose sum is σ = 487115514220608. Its totient is φ = 36064763904000.

The previous prime is 135308484575993. The next prime is 135308484576037. The reversal of 135308484576000 is 675484803531.

135308484576000 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 8 + 484 + 57 + 60 + 0 + 0 = 666.

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, 599215117 + ... + 599440883.

It is an arithmetic number, because the mean of its divisors is an integer number (1127582208844).

Almost surely, 2^{135308484576000} is an apocalyptic number.

135308484576000 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 135308484576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243557757110304).

135308484576000 is an abundant number, since it is smaller than the sum of its proper divisors (351807029644608).

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

135308484576000 is a wasteful number, since it uses less digits than its factorization.

135308484576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227885 (or 227858 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 135308484576000 in words is "one hundred thirty-five trillion, three hundred eight billion, four hundred eighty-four million, five hundred seventy-six thousand".