135033295320 has 1280 divisors, whose sum is σ = 598861486080. Its totient is φ = 26459136000.

The previous prime is 135033295303. The next prime is 135033295321. The reversal of 135033295320 is 23592330531.

It is a happy number.

135033295320 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 329 + 5 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135033295321) 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 319 ways as a sum of consecutive naturals, for example, 579541924 + ... + 579542156.

It is an arithmetic number, because the mean of its divisors is an integer number (467860536).

Almost surely, 2^135033295320 is an apocalyptic number.

135033295320 is a gapful number since it is divisible by the number (10) 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 135033295320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299430743040).

135033295320 is an abundant number, since it is smaller than the sum of its proper divisors (463828190760).

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

135033295320 is a wasteful number, since it uses less digits than its factorization.

135033295320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 135033295320 in words is "one hundred thirty-five billion, thirty-three million, two hundred ninety-five thousand, three hundred twenty".