135440400 has 120 divisors (see below), whose sum is σ = 441444960. Its totient is φ = 35486720.

The previous prime is 135440369. The next prime is 135440407. The reversal of 135440400 is 4044531.

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

It is not an unprimeable number, because it can be changed into a prime (135440407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69844 + ... + 71756.

It is an arithmetic number, because the mean of its divisors is an integer number (3678708).

Almost surely, 2^135440400 is an apocalyptic number.

135440400 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 135440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220722480).

135440400 is an abundant number, since it is smaller than the sum of its proper divisors (306004560).

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

135440400 is a wasteful number, since it uses less digits than its factorization.

135440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1982 counting only the distinct ones).

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

The square root of 135440400 is about 11637.8864060447. The cubic root of 135440400 is about 513.5500106624.

Adding to 135440400 its reverse (4044531), we get a palindrome (139484931).

The spelling of 135440400 in words is "one hundred thirty-five million, four hundred forty thousand, four hundred".