13138900 has 36 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 5188960.

The previous prime is 13138891. The next prime is 13138919. The reversal of 13138900 is 983131.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 7509 + ... + 9091.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^13138900 is an apocalyptic number.

13138900 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 13138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

13138900 is an abundant number, since it is smaller than the sum of its proper divisors (15734252).

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

13138900 is a wasteful number, since it uses less digits than its factorization.

13138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13138900 is about 3624.7620611566. The cubic root of 13138900 is about 235.9679406801.

The spelling of 13138900 in words is "thirteen million, one hundred thirty-eight thousand, nine hundred".