135866694600 has 1152 divisors, whose sum is σ = 601774817280. Its totient is φ = 27713664000.

The previous prime is 135866694511. The next prime is 135866694703. The reversal of 135866694600 is 6496668531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 137100105 + ... + 137101095.

Almost surely, 2^135866694600 is an apocalyptic number.

135866694600 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 135866694600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300887408640).

135866694600 is an abundant number, since it is smaller than the sum of its proper divisors (465908122680).

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

135866694600 is a wasteful number, since it uses less digits than its factorization.

135866694600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 135866694600 in words is "one hundred thirty-five billion, eight hundred sixty-six million, six hundred ninety-four thousand, six hundred".