135550800 has 480 divisors, whose sum is σ = 605199360. Its totient is φ = 27993600.

The previous prime is 135550777. The next prime is 135550801. The reversal of 135550800 is 8055531.

135550800 is a `hidden beast` number, since 1 + 35 + 550 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135550801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831519 + ... + 831681.

It is an arithmetic number, because the mean of its divisors is an integer number (1260832).

Almost surely, 2^135550800 is an apocalyptic number.

135550800 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 135550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302599680).

135550800 is an abundant number, since it is smaller than the sum of its proper divisors (469648560).

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

135550800 is a wasteful number, since it uses less digits than its factorization.

135550800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 135550800 is about 11642.6285691849. The cubic root of 135550800 is about 513.6895075027.

The spelling of 135550800 in words is "one hundred thirty-five million, five hundred fifty thousand, eight hundred".