135508400 has 60 divisors (see below), whose sum is σ = 327001392. Its totient is φ = 53963520.

The previous prime is 135508391. The next prime is 135508423. The reversal of 135508400 is 4805531.

It is a self number, because there is not a number n which added to its sum of digits gives 135508400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 110189 + ... + 111411.

Almost surely, 2^135508400 is an apocalyptic number.

135508400 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 135508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163500696).

135508400 is an abundant number, since it is smaller than the sum of its proper divisors (191492992).

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

135508400 is a wasteful number, since it uses less digits than its factorization.

135508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 135508400 is about 11640.8075321259. The cubic root of 135508400 is about 513.6359415911.

The spelling of 135508400 in words is "one hundred thirty-five million, five hundred eight thousand, four hundred".