13437500 has 48 divisors (see below), whose sum is σ = 30078048. Its totient is φ = 5250000.

The previous prime is 13437499. The next prime is 13437509. The reversal of 13437500 is 573431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312479 + ... + 312521.

It is an arithmetic number, because the mean of its divisors is an integer number (626626).

Almost surely, 2^13437500 is an apocalyptic number.

13437500 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 13437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039024).

13437500 is an abundant number, since it is smaller than the sum of its proper divisors (16640548).

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

13437500 is an frugal number, since it uses more digits than its factorization.

13437500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 13437500 is about 3665.7195746538. The cubic root of 13437500 is about 237.7421353265.

The spelling of 13437500 in words is "thirteen million, four hundred thirty-seven thousand, five hundred".