135004540000 has 180 divisors, whose sum is σ = 365076616212. Its totient is φ = 49091680000.

The previous prime is 135004539997. The next prime is 135004540001. The reversal of 135004540000 is 45400531.

135004540000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135004540000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135004540001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2392107 + ... + 2447893.

Almost surely, 2^135004540000 is an apocalyptic number.

135004540000 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 135004540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182538308106).

135004540000 is an abundant number, since it is smaller than the sum of its proper divisors (230072076212).

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

135004540000 is an equidigital number, since it uses as much as digits as its factorization.

135004540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55839 (or 55805 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 135004540000 its reverse (45400531), we get a palindrome (135049940531).

The spelling of 135004540000 in words is "one hundred thirty-five billion, four million, five hundred forty thousand".