135004800 has 384 divisors, whose sum is σ = 531216000. Its totient is φ = 30105600.

The previous prime is 135004787. The next prime is 135004811. The reversal of 135004800 is 8400531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3292780 + ... + 3292820.

It is an arithmetic number, because the mean of its divisors is an integer number (1383375).

Almost surely, 2^135004800 is an apocalyptic number.

135004800 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 135004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

135004800 is an abundant number, since it is smaller than the sum of its proper divisors (396211200).

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

135004800 is an equidigital number, since it uses as much as digits as its factorization.

135004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135004800 is about 11619.1565958980. The cubic root of 135004800 is about 512.9988638454.

The spelling of 135004800 in words is "one hundred thirty-five million, four thousand, eight hundred".