129713400 has 288 divisors, whose sum is σ = 481375440. Its totient is φ = 32348160.

The previous prime is 129713387. The next prime is 129713429. The reversal of 129713400 is 4317921.

It is a super-2 number, since 2×129713400² = 33651132279120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 826122 + ... + 826278.

Almost surely, 2^129713400 is an apocalyptic number.

129713400 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 129713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240687720).

129713400 is an abundant number, since it is smaller than the sum of its proper divisors (351662040).

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

129713400 is a wasteful number, since it uses less digits than its factorization.

129713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 129713400 is about 11389.1790748939. The cubic root of 129713400 is about 506.2071568682.

It can be divided in two parts, 1 and 29713400, that added together give a square (29713401 = 5451²).

The spelling of 129713400 in words is "one hundred twenty-nine million, seven hundred thirteen thousand, four hundred".