135354521344 has 144 divisors (see below), whose sum is σ = 325411340800. Its totient is φ = 54891343872.

The previous prime is 135354521317. The next prime is 135354521369. The reversal of 135354521344 is 443125453531.

It is a junction number, because it is equal to n+sod(n) for n = 135354521297 and 135354521306.

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, 38029837 + ... + 38033395.

Almost surely, 2^135354521344 is an apocalyptic number.

135354521344 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 135354521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162705670400).

135354521344 is an abundant number, since it is smaller than the sum of its proper divisors (190056819456).

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

135354521344 is a wasteful number, since it uses less digits than its factorization.

135354521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4704 counting only the distinct ones).

The product of its digits is 432000, while the sum is 40.

Adding to 135354521344 its reverse (443125453531), we get a palindrome (578479974875).

The spelling of 135354521344 in words is "one hundred thirty-five billion, three hundred fifty-four million, five hundred twenty-one thousand, three hundred forty-four".