135042113233200 has 240 divisors, whose sum is σ = 458412531389856. Its totient is φ = 33864695808000.

The previous prime is 135042113233189. The next prime is 135042113233243. The reversal of 135042113233200 is 2332311240531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21744484 + ... + 27256316.

Almost surely, 2^{135042113233200} is an apocalyptic number.

135042113233200 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 135042113233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229206265694928).

135042113233200 is an abundant number, since it is smaller than the sum of its proper divisors (323370418156656).

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

135042113233200 is a wasteful number, since it uses less digits than its factorization.

135042113233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513072 (or 5513061 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 135042113233200 its reverse (2332311240531), we get a palindrome (137374424473731).

The spelling of 135042113233200 in words is "one hundred thirty-five trillion, forty-two billion, one hundred thirteen million, two hundred thirty-three thousand, two hundred".