135121305600 has 768 divisors, whose sum is σ = 511959420000. Its totient is φ = 34917580800.

The previous prime is 135121305587. The next prime is 135121305629. The reversal of 135121305600 is 6503121531.

135121305600 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 21 + 30 + 5 + 600 = 666.

135121305600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 906854326 + ... + 906854474.

Almost surely, 2^135121305600 is an apocalyptic number.

135121305600 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 135121305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255979710000).

135121305600 is an abundant number, since it is smaller than the sum of its proper divisors (376838114400).

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

135121305600 is an equidigital number, since it uses as much as digits as its factorization.

135121305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 135121305600 in words is "one hundred thirty-five billion, one hundred twenty-one million, three hundred five thousand, six hundred".