135510345355500 has 288 divisors, whose sum is σ = 449726469192000. Its totient is φ = 34298661734400.

The previous prime is 135510345355423. The next prime is 135510345355501. The reversal of 135510345355500 is 5553543015531.

135510345355500 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 10 + 34 + 53 + 5 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135510345355501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1100445 + ... + 16499444.

It is an arithmetic number, because the mean of its divisors is an integer number (1561550240250).

Almost surely, 2^{135510345355500} is an apocalyptic number.

135510345355500 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 135510345355500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224863234596000).

135510345355500 is an abundant number, since it is smaller than the sum of its proper divisors (314216123836500).

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

135510345355500 is a wasteful number, since it uses less digits than its factorization.

135510345355500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17600002 (or 17599987 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 45.

The spelling of 135510345355500 in words is "one hundred thirty-five trillion, five hundred ten billion, three hundred forty-five million, three hundred fifty-five thousand, five hundred".