129698400 has 144 divisors (see below), whose sum is σ = 454752144. Its totient is φ = 31918080.

The previous prime is 129698381. The next prime is 129698419. The reversal of 129698400 is 4896921.

It is an interprime number because it is at equal distance from previous prime (129698381) and next prime (129698419).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 29122 + ... + 33278.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2^129698400 is an apocalyptic number.

129698400 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 129698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227376072).

129698400 is an abundant number, since it is smaller than the sum of its proper divisors (325053744).

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

129698400 is a wasteful number, since it uses less digits than its factorization.

129698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 129698400 is about 11388.5205360486. The cubic root of 129698400 is about 506.1876435924.

The spelling of 129698400 in words is "one hundred twenty-nine million, six hundred ninety-eight thousand, four hundred".