13438500 has 144 divisors (see below), whose sum is σ = 42911232. Its totient is φ = 3264000.

The previous prime is 13438441. The next prime is 13438507. The reversal of 13438500 is 583431.

13438500 = 98² + 99² + ... + 345².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433485 + ... + 433515.

Almost surely, 2^13438500 is an apocalyptic number.

13438500 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 13438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455616).

13438500 is an abundant number, since it is smaller than the sum of its proper divisors (29472732).

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

13438500 is a wasteful number, since it uses less digits than its factorization.

13438500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13438500 is about 3665.8559709841. The cubic root of 13438500 is about 237.7480326595.

The spelling of 13438500 in words is "thirteen million, four hundred thirty-eight thousand, five hundred".