135094800 has 120 divisors (see below), whose sum is σ = 437354944. Its totient is φ = 35642880.

The previous prime is 135094793. The next prime is 135094831. The reversal of 135094800 is 8490531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 123054 + ... + 124146.

Almost surely, 2^135094800 is an apocalyptic number.

135094800 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 135094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218677472).

135094800 is an abundant number, since it is smaller than the sum of its proper divisors (302260144).

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

135094800 is a wasteful number, since it uses less digits than its factorization.

135094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 135094800 is about 11623.0288651453. The cubic root of 135094800 is about 513.1128342177.

The spelling of 135094800 in words is "one hundred thirty-five million, ninety-four thousand, eight hundred".