13757538 has 8 divisors (see below), whose sum is σ = 27515088. Its totient is φ = 4585844.

The previous prime is 13757503. The next prime is 13757551. The reversal of 13757538 is 83575731.

13757538 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

13757538 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 13757496 and 13757505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1146456 + ... + 1146467.

It is an arithmetic number, because the mean of its divisors is an integer number (3439386).

Almost surely, 2^13757538 is an apocalyptic number.

13757538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

13757538 is a wasteful number, since it uses less digits than its factorization.

13757538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292928.

The product of its digits is 88200, while the sum is 39.

The square root of 13757538 is about 3709.1155279932. The cubic root of 13757538 is about 239.6147639135.

It can be divided in two parts, 137 and 57538, that added together give a palindrome (57675).

The spelling of 13757538 in words is "thirteen million, seven hundred fifty-seven thousand, five hundred thirty-eight".