135959998197600 has 576 divisors, whose sum is σ = 532754944001280. Its totient is φ = 33329724825600.

The previous prime is 135959998197553. The next prime is 135959998197619. The reversal of 135959998197600 is 6791899959531.

135959998197600 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 599 + 9 + 8 + 19 + 7 + 6 + 0 + 0 = 666.

135959998197600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135959998197600² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135959998197600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11484235 + ... + 20094965.

It is an arithmetic number, because the mean of its divisors is an integer number (924921777780).

Almost surely, 2^{135959998197600} is an apocalyptic number.

135959998197600 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 135959998197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266377472000640).

135959998197600 is an abundant number, since it is smaller than the sum of its proper divisors (396794945803680).

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

135959998197600 is a wasteful number, since it uses less digits than its factorization.

135959998197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610820 (or 8610801 counting only the distinct ones).

The product of its (nonzero) digits is 1488034800, while the sum is 81.

The spelling of 135959998197600 in words is "one hundred thirty-five trillion, nine hundred fifty-nine billion, nine hundred ninety-eight million, one hundred ninety-seven thousand, six hundred".