135414324440 has 64 divisors (see below), whose sum is σ = 309615989760. Its totient is φ = 53290638720.

The previous prime is 135414324379. The next prime is 135414324457. The reversal of 135414324440 is 44423414531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135414324440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142329 + ... + 2204631.

It is an arithmetic number, because the mean of its divisors is an integer number (4837749840).

Almost surely, 2^135414324440 is an apocalyptic number.

135414324440 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 135414324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154807994880).

135414324440 is an abundant number, since it is smaller than the sum of its proper divisors (174201665320).

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

135414324440 is a wasteful number, since it uses less digits than its factorization.

135414324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63192 (or 63188 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 135414324440 its reverse (44423414531), we get a palindrome (179837738971).

Subtracting from 135414324440 its reverse (44423414531), we obtain a palindrome (90990909909).

The spelling of 135414324440 in words is "one hundred thirty-five billion, four hundred fourteen million, three hundred twenty-four thousand, four hundred forty".