135681122304 has 1008 divisors, whose sum is σ = 513950699808. Its totient is φ = 35449602048.

The previous prime is 135681122287. The next prime is 135681122341. The reversal of 135681122304 is 403221186531.

135681122304 is a `hidden beast` number, since 1 + 356 + 81 + 1 + 223 + 0 + 4 = 666.

135681122304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1268047819 + ... + 1268047925.

It is an arithmetic number, because the mean of its divisors is an integer number (509871726).

Almost surely, 2^135681122304 is an apocalyptic number.

135681122304 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 135681122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256975349904).

135681122304 is an abundant number, since it is smaller than the sum of its proper divisors (378269577504).

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

135681122304 is an equidigital number, since it uses as much as digits as its factorization.

135681122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 135681122304 in words is "one hundred thirty-five billion, six hundred eighty-one million, one hundred twenty-two thousand, three hundred four".