135220181824 has 224 divisors, whose sum is σ = 333826811136. Its totient is φ = 52918272000.

The previous prime is 135220181791. The next prime is 135220181827. The reversal of 135220181824 is 428181022531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135220181827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340604794 + ... + 340605190.

It is an arithmetic number, because the mean of its divisors is an integer number (1490298264).

Almost surely, 2^135220181824 is an apocalyptic number.

135220181824 is a gapful number since it is divisible by the number (14) 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 135220181824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166913405568).

135220181824 is an abundant number, since it is smaller than the sum of its proper divisors (198606629312).

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

135220181824 is a wasteful number, since it uses less digits than its factorization.

135220181824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 135220181824 in words is "one hundred thirty-five billion, two hundred twenty million, one hundred eighty-one thousand, eight hundred twenty-four".