135564105600 has 2304 divisors, whose sum is σ = 654033139200. Its totient is φ = 27095040000.

The previous prime is 135564105569. The next prime is 135564105653. The reversal of 135564105600 is 6501465531.

135564105600 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 41 + 0 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1909353565 + ... + 1909353635.

It is an arithmetic number, because the mean of its divisors is an integer number (283868550).

Almost surely, 2^135564105600 is an apocalyptic number.

135564105600 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 135564105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327016569600).

135564105600 is an abundant number, since it is smaller than the sum of its proper divisors (518469033600).

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

135564105600 is a wasteful number, since it uses less digits than its factorization.

135564105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 135564105600 in words is "one hundred thirty-five billion, five hundred sixty-four million, one hundred five thousand, six hundred".