135279266220 has 576 divisors, whose sum is σ = 507219148800. Its totient is φ = 28496448000.

The previous prime is 135279266219. The next prime is 135279266233. The reversal of 135279266220 is 22662972531.

135279266220 is a `hidden beast` number, since 1 + 352 + 79 + 2 + 6 + 6 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282419941 + ... + 282420419.

It is an arithmetic number, because the mean of its divisors is an integer number (880588800).

Almost surely, 2^135279266220 is an apocalyptic number.

135279266220 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 135279266220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253609574400).

135279266220 is an abundant number, since it is smaller than the sum of its proper divisors (371939882580).

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

135279266220 is a wasteful number, since it uses less digits than its factorization.

135279266220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 135279266220 in words is "one hundred thirty-five billion, two hundred seventy-nine million, two hundred sixty-six thousand, two hundred twenty".