128713200 has 360 divisors, whose sum is σ = 525859200. Its totient is φ = 26611200.

The previous prime is 128713177. The next prime is 128713237. The reversal of 128713200 is 2317821.

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

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, 646701 + ... + 646899.

It is an arithmetic number, because the mean of its divisors is an integer number (1460720).

Almost surely, 2^128713200 is an apocalyptic number.

128713200 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 128713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262929600).

128713200 is an abundant number, since it is smaller than the sum of its proper divisors (397146000).

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

128713200 is a wasteful number, since it uses less digits than its factorization.

128713200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 128713200 is about 11345.1840002708. The cubic root of 128713200 is about 504.9027032107.

The spelling of 128713200 in words is "one hundred twenty-eight million, seven hundred thirteen thousand, two hundred".