135404400 has 120 divisors (see below), whose sum is σ = 442136880. Its totient is φ = 35409920.

The previous prime is 135404369. The next prime is 135404407. The reversal of 135404400 is 4404531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135404407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62536 + ... + 64664.

It is an arithmetic number, because the mean of its divisors is an integer number (3684474).

Almost surely, 2^135404400 is an apocalyptic number.

135404400 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 135404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221068440).

135404400 is an abundant number, since it is smaller than the sum of its proper divisors (306732480).

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

135404400 is a wasteful number, since it uses less digits than its factorization.

135404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 135404400 is about 11636.3396306571. The cubic root of 135404400 is about 513.5045061733.

Adding to 135404400 its reverse (4404531), we get a palindrome (139808931).

The spelling of 135404400 in words is "one hundred thirty-five million, four hundred four thousand, four hundred".