135800064 has 216 divisors, whose sum is σ = 424089120. Its totient is φ = 43296768.

The previous prime is 135800059. The next prime is 135800099. The reversal of 135800064 is 460008531.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301667 + ... + 2301725.

Almost surely, 2^135800064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212044560).

135800064 is an abundant number, since it is smaller than the sum of its proper divisors (288289056).

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

135800064 is an frugal number, since it uses more digits than its factorization.

135800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135800064 is about 11653.3284515627. The cubic root of 135800064 is about 514.0041887752.

Adding to 135800064 its reverse (460008531), we get a palindrome (595808595).

The spelling of 135800064 in words is "one hundred thirty-five million, eight hundred thousand, sixty-four".