135352606410 has 576 divisors, whose sum is σ = 449898209280. Its totient is φ = 28041189120.

The previous prime is 135352606399. The next prime is 135352606421. The reversal of 135352606410 is 14606253531.

135352606410 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 5 + 2 + 6 + 0 + 641 + 0 = 666.

135352606410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135352606399) and next prime (135352606421).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 277931187 + ... + 277931673.

It is an arithmetic number, because the mean of its divisors is an integer number (781073280).

Almost surely, 2^135352606410 is an apocalyptic number.

135352606410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135352606410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224949104640).

135352606410 is an abundant number, since it is smaller than the sum of its proper divisors (314545602870).

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

135352606410 is a wasteful number, since it uses less digits than its factorization.

135352606410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 135352606410 its reverse (14606253531), we get a palindrome (149958859941).

The spelling of 135352606410 in words is "one hundred thirty-five billion, three hundred fifty-two million, six hundred six thousand, four hundred ten".