4134000 has 160 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 998400.

The previous prime is 4133971. The next prime is 4134023. The reversal of 4134000 is 4314.

4134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77974 + ... + 78026.

Almost surely, 2^4134000 is an apocalyptic number.

4134000 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 4134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4134000 is an abundant number, since it is smaller than the sum of its proper divisors (10490064).

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

4134000 is a wasteful number, since it uses less digits than its factorization.

4134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4134000 is about 2033.2240407786. The cubic root of 4134000 is about 160.4932693871.

Adding to 4134000 its reverse (4314), we get a palindrome (4138314).

The spelling of 4134000 in words is "four million, one hundred thirty-four thousand".