135494800 has 180 divisors, whose sum is σ = 392641536. Its totient is φ = 44755200.

The previous prime is 135494783. The next prime is 135494803. The reversal of 135494800 is 8494531.

It is not an unprimeable number, because it can be changed into a prime (135494803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607489 + ... + 607711.

Almost surely, 2^135494800 is an apocalyptic number.

135494800 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 135494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196320768).

135494800 is an abundant number, since it is smaller than the sum of its proper divisors (257146736).

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

135494800 is a wasteful number, since it uses less digits than its factorization.

135494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 135494800 is about 11640.2233655545. The cubic root of 135494800 is about 513.6187577056.

The spelling of 135494800 in words is "one hundred thirty-five million, four hundred ninety-four thousand, eight hundred".