13538754 has 48 divisors (see below), whose sum is σ = 31898880. Its totient is φ = 4134240.

The previous prime is 13538731. The next prime is 13538779. The reversal of 13538754 is 45783531.

13538754 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 hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9964 + ... + 11240.

It is an arithmetic number, because the mean of its divisors is an integer number (664560).

Almost surely, 2^13538754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13538754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949440).

13538754 is an abundant number, since it is smaller than the sum of its proper divisors (18360126).

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

13538754 is a wasteful number, since it uses less digits than its factorization.

13538754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 13538754 is about 3679.5045862181. The cubic root of 13538754 is about 238.3377850843.

The spelling of 13538754 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred fifty-four".