135314110142200 has 96 divisors (see below), whose sum is σ = 344832357352320. Its totient is φ = 48971931120000.

The previous prime is 135314110142147. The next prime is 135314110142201. The reversal of 135314110142200 is 2241011413531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314110142201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145285596 + ... + 146213995.

It is an arithmetic number, because the mean of its divisors is an integer number (3592003722420).

Almost surely, 2^{135314110142200} is an apocalyptic number.

135314110142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135314110142200 is an abundant number, since it is smaller than the sum of its proper divisors (209518247210120).

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

135314110142200 is a wasteful number, since it uses less digits than its factorization.

135314110142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291499829 (or 291499820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 135314110142200 its reverse (2241011413531), we get a palindrome (137555121555731).

The spelling of 135314110142200 in words is "one hundred thirty-five trillion, three hundred fourteen billion, one hundred ten million, one hundred forty-two thousand, two hundred".