135327220992 has 144 divisors (see below), whose sum is σ = 405128648960. Its totient is φ = 45108887040.

The previous prime is 135327220979. The next prime is 135327221017. The reversal of 135327220992 is 299022723531.

135327220992 is a `hidden beast` number, since 1 + 3 + 532 + 7 + 2 + 20 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439017 + ... + 680727.

Almost surely, 2^135327220992 is an apocalyptic number.

135327220992 is a gapful number since it is divisible by the number (12) 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 135327220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202564324480).

135327220992 is an abundant number, since it is smaller than the sum of its proper divisors (269801427968).

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

135327220992 is an frugal number, since it uses more digits than its factorization.

135327220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241748 (or 241716 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 135327220992 in words is "one hundred thirty-five billion, three hundred twenty-seven million, two hundred twenty thousand, nine hundred ninety-two".