135123219264 has 224 divisors, whose sum is σ = 407588898816. Its totient is φ = 39142010880.

The previous prime is 135123219241. The next prime is 135123219299. The reversal of 135123219264 is 462912321531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4252524 + ... + 4284180.

Almost surely, 2^135123219264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135123219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203794449408).

135123219264 is an abundant number, since it is smaller than the sum of its proper divisors (272465679552).

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

135123219264 is a wasteful number, since it uses less digits than its factorization.

135123219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31773 (or 31763 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The spelling of 135123219264 in words is "one hundred thirty-five billion, one hundred twenty-three million, two hundred nineteen thousand, two hundred sixty-four".