135910400 has 66 divisors (see below), whose sum is σ = 336956670. Its totient is φ = 54353920.

The previous prime is 135910373. The next prime is 135910403. The reversal of 135910400 is 4019531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1721344 + 134189056 = 1312^2 + 11584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135910403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22946 + ... + 28254.

Almost surely, 2^135910400 is an apocalyptic number.

135910400 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 135910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168478335).

135910400 is an abundant number, since it is smaller than the sum of its proper divisors (201046270).

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

135910400 is an equidigital number, since it uses as much as digits as its factorization.

135910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 135910400 is about 11658.0615884460. The cubic root of 135910400 is about 514.1433586004.

Adding to 135910400 its reverse (4019531), we get a palindrome (139929931).

The spelling of 135910400 in words is "one hundred thirty-five million, nine hundred ten thousand, four hundred".