135636483225600 has 1728 divisors, whose sum is σ = 593049179923200. Its totient is φ = 30280983183360.

The previous prime is 135636483225469. The next prime is 135636483225601. The reversal of 135636483225600 is 6522384636531.

135636483225600 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 6 + 4 + 8 + 3 + 2 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135636483225601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2912693517 + ... + 2912740083.

It is an arithmetic number, because the mean of its divisors is an integer number (343199756900).

Almost surely, 2^{135636483225600} is an apocalyptic number.

135636483225600 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 135636483225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524589961600).

135636483225600 is an abundant number, since it is smaller than the sum of its proper divisors (457412696697600).

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

135636483225600 is a wasteful number, since it uses less digits than its factorization.

135636483225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46665 (or 46627 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 135636483225600 in words is "one hundred thirty-five trillion, six hundred thirty-six billion, four hundred eighty-three million, two hundred twenty-five thousand, six hundred".