135801600 has 216 divisors, whose sum is σ = 489676992. Its totient is φ = 32870400.

The previous prime is 135801599. The next prime is 135801641. The reversal of 135801600 is 6108531.

135801600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210879 + ... + 211521.

Almost surely, 2^135801600 is an apocalyptic number.

135801600 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 135801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244838496).

135801600 is an abundant number, since it is smaller than the sum of its proper divisors (353875392).

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

135801600 is a wasteful number, since it uses less digits than its factorization.

135801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 135801600 is about 11653.3943552941. The cubic root of 135801600 is about 514.0061266914.

The spelling of 135801600 in words is "one hundred thirty-five million, eight hundred one thousand, six hundred".