135367322328 has 384 divisors, whose sum is σ = 453345984000. Its totient is φ = 35625277440.

The previous prime is 135367322297. The next prime is 135367322357. The reversal of 135367322328 is 823223763531.

135367322328 is a `hidden beast` number, since 1 + 3 + 536 + 73 + 2 + 23 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218686803 + ... + 218687421.

It is an arithmetic number, because the mean of its divisors is an integer number (1180588500).

Almost surely, 2^135367322328 is an apocalyptic number.

135367322328 is a gapful number since it is divisible by the number (18) 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 135367322328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226672992000).

135367322328 is an abundant number, since it is smaller than the sum of its proper divisors (317978661672).

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

135367322328 is a wasteful number, since it uses less digits than its factorization.

135367322328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 135367322328 in words is "one hundred thirty-five billion, three hundred sixty-seven million, three hundred twenty-two thousand, three hundred twenty-eight".