135218832000 has 1024 divisors, whose sum is σ = 537698304000. Its totient is φ = 30030336000.

The previous prime is 135218831959. The next prime is 135218832053. The reversal of 135218832000 is 238812531.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 707951905 + ... + 707952095.

It is an arithmetic number, because the mean of its divisors is an integer number (525096000).

Almost surely, 2^135218832000 is an apocalyptic number.

135218832000 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 135218832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268849152000).

135218832000 is an abundant number, since it is smaller than the sum of its proper divisors (402479472000).

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

135218832000 is an equidigital number, since it uses as much as digits as its factorization.

135218832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 135218832000 in words is "one hundred thirty-five billion, two hundred eighteen million, eight hundred thirty-two thousand".