135105624416220 has 24 divisors (see below), whose sum is σ = 378295748365584. Its totient is φ = 36028166510976.

The previous prime is 135105624416209. The next prime is 135105624416221. The reversal of 135105624416220 is 22614426501531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135105624416221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125880203409 + ... + 1125880203528.

It is an arithmetic number, because the mean of its divisors is an integer number (15762322848566).

Almost surely, 2^{135105624416220} is an apocalyptic number.

135105624416220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105624416220 is an abundant number, since it is smaller than the sum of its proper divisors (243190123949364).

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

135105624416220 is a wasteful number, since it uses less digits than its factorization.

135105624416220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251760406949 (or 2251760406947 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 135105624416220 in words is "one hundred thirty-five trillion, one hundred five billion, six hundred twenty-four million, four hundred sixteen thousand, two hundred twenty".