135300400 has 30 divisors (see below), whose sum is σ = 325060172. Its totient is φ = 54120000.

The previous prime is 135300391. The next prime is 135300413. The reversal of 135300400 is 4003531.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 168726 + ... + 169525.

Almost surely, 2^135300400 is an apocalyptic number.

135300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135300400 is an abundant number, since it is smaller than the sum of its proper divisors (189759772).

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

135300400 is a wasteful number, since it uses less digits than its factorization.

135300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338269 (or 338258 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 135300400 is about 11631.8700130289. The cubic root of 135300400 is about 513.3730034371.

Adding to 135300400 its reverse (4003531), we get a palindrome (139303931).

The spelling of 135300400 in words is "one hundred thirty-five million, three hundred thousand, four hundred".