135382385820000 has 480 divisors, whose sum is σ = 484808416646400. Its totient is φ = 32795848960000.

The previous prime is 135382385819977. The next prime is 135382385820013. The reversal of 135382385820000 is 28583283531.

135382385820000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 906105301 + ... + 906254699.

It is an arithmetic number, because the mean of its divisors is an integer number (1010017534680).

Almost surely, 2^{135382385820000} is an apocalyptic number.

135382385820000 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 135382385820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242404208323200).

135382385820000 is an abundant number, since it is smaller than the sum of its proper divisors (349426030826400).

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

135382385820000 is a wasteful number, since it uses less digits than its factorization.

135382385820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150816 (or 150793 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 135382385820000 in words is "one hundred thirty-five trillion, three hundred eighty-two billion, three hundred eighty-five million, eight hundred twenty thousand".