6129000 has 128 divisors (see below), whose sum is σ = 21340800. Its totient is φ = 1627200.

The previous prime is 6128987. The next prime is 6129029. The reversal of 6129000 is 9216.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

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, 26887 + ... + 27113.

It is an arithmetic number, because the mean of its divisors is an integer number (166725).

Almost surely, 2^6129000 is an apocalyptic number.

6129000 is a gapful number since it is divisible by the number (60) 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 6129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670400).

6129000 is an abundant number, since it is smaller than the sum of its proper divisors (15211800).

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

6129000 is a wasteful number, since it uses less digits than its factorization.

6129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 6129000 is about 2475.6817242933. The cubic root of 6129000 is about 183.0051060118.

The spelling of 6129000 in words is "six million, one hundred twenty-nine thousand".