135987320320 has 80 divisors (see below), whose sum is σ = 326707326000. Its totient is φ = 54285410304.

The previous prime is 135987320243. The next prime is 135987320323. The reversal of 135987320320 is 23023789531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135987320323) 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 7 ways as a sum of consecutive naturals, for example, 1224214 + ... + 1330666.

It is an arithmetic number, because the mean of its divisors is an integer number (4083841575).

Almost surely, 2^135987320320 is an apocalyptic number.

135987320320 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 135987320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163353663000).

135987320320 is an abundant number, since it is smaller than the sum of its proper divisors (190720005680).

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

135987320320 is an equidigital number, since it uses as much as digits as its factorization.

135987320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106975 (or 106959 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 135987320320 in words is "one hundred thirty-five billion, nine hundred eighty-seven million, three hundred twenty thousand, three hundred twenty".