129642000 has 320 divisors, whose sum is σ = 467970048. Its totient is φ = 30720000.

The previous prime is 129641971. The next prime is 129642001. The reversal of 129642000 is 246921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129642001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3161980 + ... + 3162020.

Almost surely, 2^129642000 is an apocalyptic number.

129642000 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 129642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

129642000 is an abundant number, since it is smaller than the sum of its proper divisors (338328048).

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

129642000 is a wasteful number, since it uses less digits than its factorization.

129642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 129642000 is about 11386.0440891470. The cubic root of 129642000 is about 506.1142602087.

Adding to 129642000 its reverse (246921), we get a palindrome (129888921).

The spelling of 129642000 in words is "one hundred twenty-nine million, six hundred forty-two thousand".