4134754000 has 160 divisors (see below), whose sum is σ = 10842118560. Its totient is φ = 1525056000.

The previous prime is 4134753977. The next prime is 4134754037. The reversal of 4134754000 is 4574314.

It can be written as a sum of positive squares in 16 ways, for example, as 3660734016 + 474019984 = 60504^2 + 21772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4134754000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4393530 + ... + 4394470.

It is an arithmetic number, because the mean of its divisors is an integer number (67763241).

Almost surely, 2^4134754000 is an apocalyptic number.

4134754000 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 4134754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421059280).

4134754000 is an abundant number, since it is smaller than the sum of its proper divisors (6707364560).

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

4134754000 is an equidigital number, since it uses as much as digits as its factorization.

4134754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 4134754000 is about 64302.0528443688. The cubic root of 4134754000 is about 1605.0302624638.

The spelling of 4134754000 in words is "four billion, one hundred thirty-four million, seven hundred fifty-four thousand".