135687998983680 has 6400 divisors, whose sum is σ = 658323704586240. Its totient is φ = 26142887116800.

The previous prime is 135687998983673. The next prime is 135687998983721. The reversal of 135687998983680 is 86389899786531.

135687998983680 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 79 + 98 + 98 + 368 + 0 = 666.

135687998983680 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 2×135687998983680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 296910282012 + ... + 296910282468.

Almost surely, 2^{135687998983680} is an apocalyptic number.

135687998983680 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 135687998983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329161852293120).

135687998983680 is an abundant number, since it is smaller than the sum of its proper divisors (522635705602560).

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

135687998983680 is a wasteful number, since it uses less digits than its factorization.

135687998983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 33861058560, while the sum is 90.

The spelling of 135687998983680 in words is "one hundred thirty-five trillion, six hundred eighty-seven billion, nine hundred ninety-eight million, nine hundred eighty-three thousand, six hundred eighty".