135423471600320 has 224 divisors, whose sum is σ = 325716075528192. Its totient is φ = 53628664320000.

The previous prime is 135423471600173. The next prime is 135423471600353. The reversal of 135423471600320 is 23006174324531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11090279015 + ... + 11090291225.

Almost surely, 2^{135423471600320} is an apocalyptic number.

135423471600320 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 135423471600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162858037764096).

135423471600320 is an abundant number, since it is smaller than the sum of its proper divisors (190292603927872).

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

135423471600320 is a wasteful number, since it uses less digits than its factorization.

135423471600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 135423471600320 in words is "one hundred thirty-five trillion, four hundred twenty-three billion, four hundred seventy-one million, six hundred thousand, three hundred twenty".