135607646707200 has 480 divisors, whose sum is σ = 497923829034720. Its totient is φ = 36149118566400.

The previous prime is 135607646707123. The next prime is 135607646707261. The reversal of 135607646707200 is 2707646706531.

It is a happy number.

135607646707200 is a `hidden beast` number, since 1 + 3 + 5 + 607 + 6 + 4 + 6 + 7 + 0 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987310530 + ... + 987447870.

It is an arithmetic number, because the mean of its divisors is an integer number (1037341310489).

Almost surely, 2^{135607646707200} is an apocalyptic number.

135607646707200 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 135607646707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248961914517360).

135607646707200 is an abundant number, since it is smaller than the sum of its proper divisors (362316182327520).

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

135607646707200 is a wasteful number, since it uses less digits than its factorization.

135607646707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140235 (or 140208 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 135607646707200 in words is "one hundred thirty-five trillion, six hundred seven billion, six hundred forty-six million, seven hundred seven thousand, two hundred".