13339200 has 168 divisors, whose sum is σ = 50141632. Its totient is φ = 3041280.

The previous prime is 13339187. The next prime is 13339213. The reversal of 13339200 is 293331.

It is an interprime number because it is at equal distance from previous prime (13339187) and next prime (13339213).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33402 + ... + 33798.

Almost surely, 2^13339200 is an apocalyptic number.

13339200 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 13339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070816).

13339200 is an abundant number, since it is smaller than the sum of its proper divisors (36802432).

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

13339200 is a wasteful number, since it uses less digits than its factorization.

13339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 13339200 is about 3652.2869547723. The cubic root of 13339200 is about 237.1609937120.

The spelling of 13339200 in words is "thirteen million, three hundred thirty-nine thousand, two hundred".