135440000 has 80 divisors (see below), whose sum is σ = 337368570. Its totient is φ = 54144000.

The previous prime is 135439979. The next prime is 135440009. The reversal of 135440000 is 44531.

It can be written as a sum of positive squares in 5 ways, for example, as 322624 + 135117376 = 568^2 + 11624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (135440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79154 + ... + 80846.

Almost surely, 2^135440000 is an apocalyptic number.

135440000 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 135440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168684285).

135440000 is an abundant number, since it is smaller than the sum of its proper divisors (201928570).

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

135440000 is an frugal number, since it uses more digits than its factorization.

135440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 135440000 is about 11637.8692207809. The cubic root of 135440000 is about 513.5495051013.

Adding to 135440000 its reverse (44531), we get a palindrome (135484531).

The spelling of 135440000 in words is "one hundred thirty-five million, four hundred forty thousand".