135510444322344 has 320 divisors, whose sum is σ = 467285185530240. Its totient is φ = 35728237278720.

The previous prime is 135510444322339. The next prime is 135510444322367. The reversal of 135510444322344 is 443223444015531.

It is a happy number.

135510444322344 is a `hidden beast` number, since 1 + 3 + 5 + 510 + 4 + 44 + 32 + 23 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135510444322344.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196077462 + ... + 196767354.

It is an arithmetic number, because the mean of its divisors is an integer number (1460266204782).

Almost surely, 2^{135510444322344} is an apocalyptic number.

135510444322344 is a gapful number since it is divisible by the number (14) 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 135510444322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233642592765120).

135510444322344 is an abundant number, since it is smaller than the sum of its proper divisors (331774741207896).

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

135510444322344 is a wasteful number, since it uses less digits than its factorization.

135510444322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693262 (or 693249 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 135510444322344 its reverse (443223444015531), we get a palindrome (578733888337875).

The spelling of 135510444322344 in words is "one hundred thirty-five trillion, five hundred ten billion, four hundred forty-four million, three hundred twenty-two thousand, three hundred forty-four".