135411800340 has 576 divisors, whose sum is σ = 451271761920. Its totient is φ = 30163415040.

The previous prime is 135411800339. The next prime is 135411800347. The reversal of 135411800340 is 43008114531.

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 = 135411800298 and 135411800307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135411800347) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 499674405 + ... + 499674675.

It is an arithmetic number, because the mean of its divisors is an integer number (783457920).

Almost surely, 2^135411800340 is an apocalyptic number.

135411800340 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 135411800340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225635880960).

135411800340 is an abundant number, since it is smaller than the sum of its proper divisors (315859961580).

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

135411800340 is a wasteful number, since it uses less digits than its factorization.

135411800340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 135411800340 its reverse (43008114531), we get a palindrome (178419914871).

The spelling of 135411800340 in words is "one hundred thirty-five billion, four hundred eleven million, eight hundred thousand, three hundred forty".