135775800 has 72 divisors (see below), whose sum is σ = 455986440. Its totient is φ = 36206400.

The previous prime is 135775769. The next prime is 135775807. The reversal of 135775800 is 8577531.

135775800 is a `hidden beast` number, since 1 + 3 + 5 + 77 + 580 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135775807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35916 + ... + 39515.

It is an arithmetic number, because the mean of its divisors is an integer number (6333145).

Almost surely, 2^135775800 is an apocalyptic number.

135775800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135775800 is an abundant number, since it is smaller than the sum of its proper divisors (320210640).

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

135775800 is a wasteful number, since it uses less digits than its factorization.

135775800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75453 (or 75441 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 135775800 is about 11652.2873291041. The cubic root of 135775800 is about 513.9735738154.

The spelling of 135775800 in words is "one hundred thirty-five million, seven hundred seventy-five thousand, eight hundred".