135225420321240 has 48 divisors (see below), whose sum is σ = 439482616045200. Its totient is φ = 36060112085568.

The previous prime is 135225420321203. The next prime is 135225420321241. The reversal of 135225420321240 is 42123024522531.

135225420321240 is a `hidden beast` number, since 1 + 3 + 5 + 22 + 54 + 20 + 321 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135225420321195 and 135225420321204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135225420321241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187813083420 + ... + 187813084139.

It is an arithmetic number, because the mean of its divisors is an integer number (9155887834275).

Almost surely, 2^{135225420321240} is an apocalyptic number.

135225420321240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135225420321240 is an abundant number, since it is smaller than the sum of its proper divisors (304257195723960).

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

135225420321240 is a wasteful number, since it uses less digits than its factorization.

135225420321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375626167576 (or 375626167569 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 135225420321240 its reverse (42123024522531), we get a palindrome (177348444843771).

The spelling of 135225420321240 in words is "one hundred thirty-five trillion, two hundred twenty-five billion, four hundred twenty million, three hundred twenty-one thousand, two hundred forty".