135203375596800 has 2160 divisors, whose sum is σ = 552064484833792. Its totient is φ = 29087067340800.

The previous prime is 135203375596733. The next prime is 135203375596811. The reversal of 135203375596800 is 8695573302531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52875781122 + ... + 52875783678.

Almost surely, 2^{135203375596800} is an apocalyptic number.

135203375596800 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 135203375596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276032242416896).

135203375596800 is an abundant number, since it is smaller than the sum of its proper divisors (416861109236992).

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

135203375596800 is an equidigital number, since it uses as much as digits as its factorization.

135203375596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 135203375596800 in words is "one hundred thirty-five trillion, two hundred three billion, three hundred seventy-five million, five hundred ninety-six thousand, eight hundred".