135169800 has 192 divisors, whose sum is σ = 449971200. Its totient is φ = 33465600.

The previous prime is 135169757. The next prime is 135169807. The reversal of 135169800 is 8961531.

It is not an unprimeable number, because it can be changed into a prime (135169807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809317 + ... + 809483.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^135169800 is an apocalyptic number.

135169800 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 135169800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

135169800 is an abundant number, since it is smaller than the sum of its proper divisors (314801400).

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

135169800 is a wasteful number, since it uses less digits than its factorization.

135169800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 135169800 is about 11626.2547709914. The cubic root of 135169800 is about 513.2077708676.

The spelling of 135169800 in words is "one hundred thirty-five million, one hundred sixty-nine thousand, eight hundred".