135352603306500 has 192 divisors, whose sum is σ = 408140687485440. Its totient is φ = 34814992396800.

The previous prime is 135352603306433. The next prime is 135352603306507. The reversal of 135352603306500 is 5603306253531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135352603306507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42529689 + ... + 45601311.

It is an arithmetic number, because the mean of its divisors is an integer number (2125732747320).

Almost surely, 2^{135352603306500} is an apocalyptic number.

135352603306500 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 135352603306500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204070343742720).

135352603306500 is an abundant number, since it is smaller than the sum of its proper divisors (272788084178940).

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

135352603306500 is a wasteful number, since it uses less digits than its factorization.

135352603306500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072687 (or 3072675 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 42.

The spelling of 135352603306500 in words is "one hundred thirty-five trillion, three hundred fifty-two billion, six hundred three million, three hundred six thousand, five hundred".