135510502120500 has 192 divisors, whose sum is σ = 425225148042240. Its totient is φ = 33335692416000.

The previous prime is 135510502120417. The next prime is 135510502120541. The reversal of 135510502120500 is 5021205015531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29216005 + ... + 33534995.

It is an arithmetic number, because the mean of its divisors is an integer number (2214714312720).

Almost surely, 2^{135510502120500} is an apocalyptic number.

135510502120500 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 135510502120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212612574021120).

135510502120500 is an abundant number, since it is smaller than the sum of its proper divisors (289714645921740).

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

135510502120500 is a wasteful number, since it uses less digits than its factorization.

135510502120500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320635 (or 4320623 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 135510502120500 in words is "one hundred thirty-five trillion, five hundred ten billion, five hundred two million, one hundred twenty thousand, five hundred".