7134400 has 168 divisors, whose sum is σ = 22047200. Its totient is φ = 2257920.

The previous prime is 7134397. The next prime is 7134409. The reversal of 7134400 is 44317.

It is a happy number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (7134409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548794 + ... + 548806.

Almost surely, 2^7134400 is an apocalyptic number.

7134400 is a gapful number since it is divisible by the number (70) 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 7134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11023600).

7134400 is an abundant number, since it is smaller than the sum of its proper divisors (14912800).

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

7134400 is a wasteful number, since it uses less digits than its factorization.

7134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 7134400 is about 2671.0297639674. The cubic root of 7134400 is about 192.5096413904.

Adding to 7134400 its reverse (44317), we get a palindrome (7178717).

The spelling of 7134400 in words is "seven million, one hundred thirty-four thousand, four hundred".