75134400 has 168 divisors, whose sum is σ = 269101824. Its totient is φ = 18201600.

The previous prime is 75134363. The next prime is 75134453. The reversal of 75134400 is 443157.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52089 + ... + 53511.

Almost surely, 2^75134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134550912).

75134400 is an abundant number, since it is smaller than the sum of its proper divisors (193967424).

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

75134400 is a wasteful number, since it uses less digits than its factorization.

75134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 75134400 is about 8668.0101522783. The cubic root of 75134400 is about 421.9680875518.

Adding to 75134400 its reverse (443157), we get a palindrome (75577557).

The spelling of 75134400 in words is "seventy-five million, one hundred thirty-four thousand, four hundred".