135102673305600 has 6480 divisors, whose sum is σ = 659129211530496. Its totient is φ = 24045944832000.

The previous prime is 135102673305599. The next prime is 135102673305667. The reversal of 135102673305600 is 6503376201531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1902854553565 + ... + 1902854553635.

Almost surely, 2^{135102673305600} is an apocalyptic number.

135102673305600 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 135102673305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329564605765248).

135102673305600 is an abundant number, since it is smaller than the sum of its proper divisors (524026538224896).

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

135102673305600 is a wasteful number, since it uses less digits than its factorization.

135102673305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 135102673305600 in words is "one hundred thirty-five trillion, one hundred two billion, six hundred seventy-three million, three hundred five thousand, six hundred".