129014000 has 80 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 51200000.

The previous prime is 129013991. The next prime is 129014027. The reversal of 129014000 is 410921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×129014000² = 33289224392000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129014000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 501872 + ... + 502128.

Almost surely, 2^129014000 is an apocalyptic number.

129014000 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 129014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

129014000 is an abundant number, since it is smaller than the sum of its proper divisors (185403376).

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

129014000 is a wasteful number, since it uses less digits than its factorization.

129014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 129014000 is about 11358.4329905141. The cubic root of 129014000 is about 505.2957128299.

Adding to 129014000 its reverse (410921), we get a palindrome (129424921).

The spelling of 129014000 in words is "one hundred twenty-nine million, fourteen thousand".