13538976 has 48 divisors (see below), whose sum is σ = 38773728. Its totient is φ = 4102400.

The previous prime is 13538957. The next prime is 13538983. The reversal of 13538976 is 67983531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13538976² = 366607742257152, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5355 + ... + 7466.

It is an arithmetic number, because the mean of its divisors is an integer number (807786).

Almost surely, 2^13538976 is an apocalyptic number.

13538976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13538976 is an abundant number, since it is smaller than the sum of its proper divisors (25234752).

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

13538976 is a wasteful number, since it uses less digits than its factorization.

13538976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845 (or 12837 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 13538976 is about 3679.5347531991. The cubic root of 13538976 is about 238.3390877817.

The spelling of 13538976 in words is "thirteen million, five hundred thirty-eight thousand, nine hundred seventy-six".