135332884600320 has 320 divisors, whose sum is σ = 473728062677760. Its totient is φ = 32686003814400.

The previous prime is 135332884600307. The next prime is 135332884600327. The reversal of 135332884600320 is 23006488233531.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×135332884600320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135332884600320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135332884600327) 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, 19747515 + ... + 25702725.

It is an arithmetic number, because the mean of its divisors is an integer number (1480400195868).

Almost surely, 2^{135332884600320} is an apocalyptic number.

135332884600320 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 135332884600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236864031338880).

135332884600320 is an abundant number, since it is smaller than the sum of its proper divisors (338395178077440).

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

135332884600320 is a wasteful number, since it uses less digits than its factorization.

135332884600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955517 (or 5955501 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 135332884600320 in words is "one hundred thirty-five trillion, three hundred thirty-two billion, eight hundred eighty-four million, six hundred thousand, three hundred twenty".