135013032000 has 1680 divisors, whose sum is σ = 623302003584. Its totient is φ = 27659520000.

The previous prime is 135013031903. The next prime is 135013032019. The reversal of 135013032000 is 230310531.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1901591965 + ... + 1901592035.

Almost surely, 2^135013032000 is an apocalyptic number.

135013032000 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 135013032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311651001792).

135013032000 is an abundant number, since it is smaller than the sum of its proper divisors (488288971584).

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

135013032000 is an equidigital number, since it uses as much as digits as its factorization.

135013032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 135013032000 its reverse (230310531), we get a palindrome (135243342531).

The spelling of 135013032000 in words is "one hundred thirty-five billion, thirteen million, thirty-two thousand".