135400080 has 160 divisors (see below), whose sum is σ = 461399040. Its totient is φ = 32693760.

The previous prime is 135400073. The next prime is 135400129. The reversal of 135400080 is 80004531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104235 + ... + 105525.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 2^135400080 is an apocalyptic number.

135400080 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 135400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

135400080 is an abundant number, since it is smaller than the sum of its proper divisors (325998960).

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

135400080 is a wasteful number, since it uses less digits than its factorization.

135400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

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

The square root of 135400080 is about 11636.1540037935. The cubic root of 135400080 is about 513.4990450926.

The spelling of 135400080 in words is "one hundred thirty-five million, four hundred thousand, eighty".