135589440 has 112 divisors (see below), whose sum is σ = 492020352. Its totient is φ = 30990336.

The previous prime is 135589427. The next prime is 135589463. The reversal of 135589440 is 44985531.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369 + ... + 16808.

Almost surely, 2^135589440 is an apocalyptic number.

135589440 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 135589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246010176).

135589440 is an abundant number, since it is smaller than the sum of its proper divisors (356430912).

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

135589440 is a wasteful number, since it uses less digits than its factorization.

135589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20204 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 135589440 is about 11644.2878700245. The cubic root of 135589440 is about 513.7383135021.

The spelling of 135589440 in words is "one hundred thirty-five million, five hundred eighty-nine thousand, four hundred forty".