135018432000 has 960 divisors, whose sum is σ = 515341569600. Its totient is φ = 33924710400.

The previous prime is 135018431993. The next prime is 135018432011. The reversal of 135018432000 is 234810531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985535932 + ... + 985536068.

It is an arithmetic number, because the mean of its divisors is an integer number (536814135).

Almost surely, 2^135018432000 is an apocalyptic number.

135018432000 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 135018432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257670784800).

135018432000 is an abundant number, since it is smaller than the sum of its proper divisors (380323137600).

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

135018432000 is a wasteful number, since it uses less digits than its factorization.

135018432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 1350 and 18432000, that multiplied together give a 5-th power (24883200000 = 120⁵).

The spelling of 135018432000 in words is "one hundred thirty-five billion, eighteen million, four hundred thirty-two thousand".