134330400 has 216 divisors, whose sum is σ = 491937264. Its totient is φ = 35769600.

The previous prime is 134330393. The next prime is 134330411. The reversal of 134330400 is 4033431.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 194055 + ... + 194745.

Almost surely, 2^134330400 is an apocalyptic number.

134330400 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 134330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245968632).

134330400 is an abundant number, since it is smaller than the sum of its proper divisors (357606864).

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

134330400 is an equidigital number, since it uses as much as digits as its factorization.

134330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 134330400 is about 11590.0992230438. The cubic root of 134330400 is about 512.1432297851.

Adding to 134330400 its reverse (4033431), we get a palindrome (138363831).

The spelling of 134330400 in words is "one hundred thirty-four million, three hundred thirty thousand, four hundred".