129846000 has 320 divisors, whose sum is σ = 473541120. Its totient is φ = 30412800.

The previous prime is 129845999. The next prime is 129846001. The reversal of 129846000 is 648921.

It is an interprime number because it is at equal distance from previous prime (129845999) and next prime (129846001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129846001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1937967 + ... + 1938033.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 2^129846000 is an apocalyptic number.

129846000 is a gapful number since it is divisible by the number (10) 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 129846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

129846000 is an abundant number, since it is smaller than the sum of its proper divisors (343695120).

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

129846000 is a wasteful number, since it uses less digits than its factorization.

129846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 129846000 is about 11394.9989030276. The cubic root of 129846000 is about 506.3795888341.

The spelling of 129846000 in words is "one hundred twenty-nine million, eight hundred forty-six thousand".