4134752000 has 144 divisors (see below), whose sum is σ = 10378385472. Its totient is φ = 1641369600.

The previous prime is 4134751997. The next prime is 4134752003. The reversal of 4134752000 is 2574314.

4134752000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4134751997) and next prime (4134752003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134752003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5023589 + ... + 5024411.

Almost surely, 2^4134752000 is an apocalyptic number.

4134752000 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 4134752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189192736).

4134752000 is an abundant number, since it is smaller than the sum of its proper divisors (6243633472).

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

4134752000 is an equidigital number, since it uses as much as digits as its factorization.

4134752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4134752000 is about 64302.0372927639. The cubic root of 4134752000 is about 1605.0300036769.

The spelling of 4134752000 in words is "four billion, one hundred thirty-four million, seven hundred fifty-two thousand".