135254202408 has 768 divisors, whose sum is σ = 462896179200. Its totient is φ = 36582036480.

The previous prime is 135254202407. The next prime is 135254202449. The reversal of 135254202408 is 804202452531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135254202407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 408622803 + ... + 408623133.

It is an arithmetic number, because the mean of its divisors is an integer number (602729400).

Almost surely, 2^135254202408 is an apocalyptic number.

135254202408 is a gapful number since it is divisible by the number (18) 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 135254202408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231448089600).

135254202408 is an abundant number, since it is smaller than the sum of its proper divisors (327641976792).

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

135254202408 is a wasteful number, since it uses less digits than its factorization.

135254202408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 135254202408 its reverse (804202452531), we get a palindrome (939456654939).

The spelling of 135254202408 in words is "one hundred thirty-five billion, two hundred fifty-four million, two hundred two thousand, four hundred eight".