135344333152440 has 160 divisors (see below), whose sum is σ = 454957656714000. Its totient is φ = 36087830263296.

The previous prime is 135344333152433. The next prime is 135344333152499. The reversal of 135344333152440 is 44251333443531.

135344333152440 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 43 + 331 + 5 + 244 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27045556 + ... + 31656764.

Almost surely, 2^{135344333152440} is an apocalyptic number.

135344333152440 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 135344333152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227478828357000).

135344333152440 is an abundant number, since it is smaller than the sum of its proper divisors (319613323561560).

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

135344333152440 is a wasteful number, since it uses less digits than its factorization.

135344333152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620291 (or 4620278 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

Adding to 135344333152440 its reverse (44251333443531), we get a palindrome (179595666595971).

The spelling of 135344333152440 in words is "one hundred thirty-five trillion, three hundred forty-four billion, three hundred thirty-three million, one hundred fifty-two thousand, four hundred forty".