135042400 has 36 divisors (see below), whose sum is σ = 329674212. Its totient is φ = 54016640.

The previous prime is 135042331. The next prime is 135042461. The reversal of 135042400 is 4240531.

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, 83602 + ... + 85201.

It is an arithmetic number, because the mean of its divisors is an integer number (9157617).

Almost surely, 2^135042400 is an apocalyptic number.

135042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135042400 is an abundant number, since it is smaller than the sum of its proper divisors (194631812).

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

135042400 is a wasteful number, since it uses less digits than its factorization.

135042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168823 (or 168810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 135042400 is about 11620.7745008670. The cubic root of 135042400 is about 513.0464842927.

Adding to 135042400 its reverse (4240531), we get a palindrome (139282931).

The spelling of 135042400 in words is "one hundred thirty-five million, forty-two thousand, four hundred".