135441042240 has 224 divisors, whose sum is σ = 502887813120. Its totient is φ = 30237935616.

The previous prime is 135441042229. The next prime is 135441042313. The reversal of 135441042240 is 42240144531.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 135441042198 and 135441042207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54601 + ... + 523319.

It is an arithmetic number, because the mean of its divisors is an integer number (2245034880).

Almost surely, 2^135441042240 is an apocalyptic number.

135441042240 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 135441042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251443906560).

135441042240 is an abundant number, since it is smaller than the sum of its proper divisors (367446770880).

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

135441042240 is a wasteful number, since it uses less digits than its factorization.

135441042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468789 (or 468779 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 135441042240 its reverse (42240144531), we get a palindrome (177681186771).

The spelling of 135441042240 in words is "one hundred thirty-five billion, four hundred forty-one million, forty-two thousand, two hundred forty".