13138200 has 120 divisors (see below), whose sum is σ = 45687180. Its totient is φ = 3499200.

The previous prime is 13138199. The next prime is 13138201. The reversal of 13138200 is 283131.

It is an interprime number because it is at equal distance from previous prime (13138199) and next prime (13138201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13138200² = 345224598480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15795 + ... + 16605.

Almost surely, 2^13138200 is an apocalyptic number.

13138200 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 13138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22843590).

13138200 is an abundant number, since it is smaller than the sum of its proper divisors (32548980).

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

13138200 is a wasteful number, since it uses less digits than its factorization.

13138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13138200 is about 3624.6655018084. The cubic root of 13138200 is about 235.9637500580.

The spelling of 13138200 in words is "thirteen million, one hundred thirty-eight thousand, two hundred".