134534400 has 648 divisors, whose sum is σ = 606773664. Its totient is φ = 25804800.

The previous prime is 134534381. The next prime is 134534423. The reversal of 134534400 is 4435431.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10348794 + ... + 10348806.

Almost surely, 2^134534400 is an apocalyptic number.

134534400 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 134534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303386832).

134534400 is an abundant number, since it is smaller than the sum of its proper divisors (472239264).

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

134534400 is a wasteful number, since it uses less digits than its factorization.

134534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

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

The square root of 134534400 is about 11598.8964992365. The cubic root of 134534400 is about 512.4023530006.

Adding to 134534400 its reverse (4435431), we get a palindrome (138969831).

The spelling of 134534400 in words is "one hundred thirty-four million, five hundred thirty-four thousand, four hundred".