135021414405200 has 60 divisors (see below), whose sum is σ = 324914700644220. Its totient is φ = 53921031521280.

The previous prime is 135021414405179. The next prime is 135021414405263. The reversal of 135021414405200 is 2504414120531.

It can be written as a sum of positive squares in 6 ways, for example, as 27410418366016 + 107610996039184 = 5235496^2 + 10373572^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273297395 + ... + 273790994.

It is an arithmetic number, because the mean of its divisors is an integer number (5415245010737).

Almost surely, 2^{135021414405200} is an apocalyptic number.

135021414405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135021414405200 is an abundant number, since it is smaller than the sum of its proper divisors (189893286239020).

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

135021414405200 is a wasteful number, since it uses less digits than its factorization.

135021414405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547089024 (or 547089013 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 135021414405200 its reverse (2504414120531), we get a palindrome (137525828525731).

The spelling of 135021414405200 in words is "one hundred thirty-five trillion, twenty-one billion, four hundred fourteen million, four hundred five thousand, two hundred".