14137520 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 5241600.

The previous prime is 14137517. The next prime is 14137537. The reversal of 14137520 is 2573141.

14137520 = T₄₉₄ + T₄₉₅ + ... + T₅₈₉.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 107855 + ... + 107985.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^14137520 is an apocalyptic number.

14137520 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 14137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

14137520 is an abundant number, since it is smaller than the sum of its proper divisors (21217360).

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

14137520 is a wasteful number, since it uses less digits than its factorization.

14137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 14137520 is about 3759.9893616871. The cubic root of 14137520 is about 241.8008059643.

The spelling of 14137520 in words is "fourteen million, one hundred thirty-seven thousand, five hundred twenty".