14137600 has 81 divisors (see below), whose sum is σ = 35753137. Its totient is φ = 5534720.

The previous prime is 14137573. The next prime is 14137621. The reversal of 14137600 is 673141.

The square root of 14137600 is 3760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5089536 + 9048064 = 2256^2 + 3008^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 300777 + ... + 300823.

Almost surely, 2^14137600 is an apocalyptic number.

14137600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14137600 is the 3760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14137600

14137600 is an abundant number, since it is smaller than the sum of its proper divisors (21615537).

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

14137600 is an frugal number, since it uses more digits than its factorization.

14137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The cubic root of 14137600 is about 241.8012620563.

The spelling of 14137600 in words is "fourteen million, one hundred thirty-seven thousand, six hundred".