135214400 has 42 divisors (see below), whose sum is σ = 332715870. Its totient is φ = 54085120.

The previous prime is 135214381. The next prime is 135214427. The reversal of 135214400 is 4412531.

135214400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15618304 + 119596096 = 3952^2 + 10936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40655 + ... + 43854.

Almost surely, 2^135214400 is an apocalyptic number.

135214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135214400 is an abundant number, since it is smaller than the sum of its proper divisors (197501470).

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

135214400 is an equidigital number, since it uses as much as digits as its factorization.

135214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84531 (or 84516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 135214400 is about 11628.1726853362. The cubic root of 135214400 is about 513.2642098788.

Adding to 135214400 its reverse (4412531), we get a palindrome (139626931).

The spelling of 135214400 in words is "one hundred thirty-five million, two hundred fourteen thousand, four hundred".