135384721920 has 800 divisors, whose sum is σ = 583463548800. Its totient is φ = 29310418944.

The previous prime is 135384721919. The next prime is 135384721963. The reversal of 135384721920 is 29127483531.

It is a happy number.

135384721920 is a `hidden beast` number, since 1 + 3 + 538 + 4 + 7 + 21 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27576426 + ... + 27581334.

It is an arithmetic number, because the mean of its divisors is an integer number (729329436).

Almost surely, 2^135384721920 is an apocalyptic number.

135384721920 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 135384721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291731774400).

135384721920 is an abundant number, since it is smaller than the sum of its proper divisors (448078826880).

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

135384721920 is an equidigital number, since it uses as much as digits as its factorization.

135384721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 135384721920 in words is "one hundred thirty-five billion, three hundred eighty-four million, seven hundred twenty-one thousand, nine hundred twenty".