4556134000 has 240 divisors, whose sum is σ = 12333773088. Its totient is φ = 1626240000.

The previous prime is 4556133997. The next prime is 4556134003. The reversal of 4556134000 is 4316554.

It is an interprime number because it is at equal distance from previous prime (4556133997) and next prime (4556134003).

It is a self number, because there is not a number n which added to its sum of digits gives 4556134000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4556134003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16213860 + ... + 16214140.

Almost surely, 2^4556134000 is an apocalyptic number.

4556134000 is a gapful number since it is divisible by the number (40) 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 4556134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166886544).

4556134000 is an abundant number, since it is smaller than the sum of its proper divisors (7777639088).

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

4556134000 is a wasteful number, since it uses less digits than its factorization.

4556134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 4556134000 is about 67499.1407352716. The cubic root of 4556134000 is about 1657.8001052102.

The spelling of 4556134000 in words is "four billion, five hundred fifty-six million, one hundred thirty-four thousand".