135021563140000 has 240 divisors, whose sum is σ = 350118746762400. Its totient is φ = 51098366592000.

The previous prime is 135021563139989. The next prime is 135021563140003. The reversal of 135021563140000 is 41365120531.

It is not an unprimeable number, because it can be changed into a prime (135021563140003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287425311 + ... + 287894689.

It is an arithmetic number, because the mean of its divisors is an integer number (1458828111510).

Almost surely, 2^{135021563140000} is an apocalyptic number.

135021563140000 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 135021563140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175059373381200).

135021563140000 is an abundant number, since it is smaller than the sum of its proper divisors (215097183622400).

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

135021563140000 is an equidigital number, since it uses as much as digits as its factorization.

135021563140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470185 (or 470162 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 135021563140000 in words is "one hundred thirty-five trillion, twenty-one billion, five hundred sixty-three million, one hundred forty thousand".