135434400 has 72 divisors (see below), whose sum is σ = 440846784. Its totient is φ = 36115200.

The previous prime is 135434399. The next prime is 135434449. The reversal of 135434400 is 4434531.

135434400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 25816 + ... + 30615.

It is an arithmetic number, because the mean of its divisors is an integer number (6122872).

Almost surely, 2^135434400 is an apocalyptic number.

135434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135434400 is an abundant number, since it is smaller than the sum of its proper divisors (305412384).

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

135434400 is a wasteful number, since it uses less digits than its factorization.

135434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56454 (or 56441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135434400 is about 11637.6286244234. The cubic root of 135434400 is about 513.5424271409.

Adding to 135434400 its reverse (4434531), we get a palindrome (139868931).

The spelling of 135434400 in words is "one hundred thirty-five million, four hundred thirty-four thousand, four hundred".