13153968 has 40 divisors (see below), whose sum is σ = 37758000. Its totient is φ = 4384512.

The previous prime is 13153967. The next prime is 13153993. The reversal of 13153968 is 86935131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13153963) by changing a digit.

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, 14793 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (943950).

Almost surely, 2^13153968 is an apocalyptic number.

13153968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13153968 is an abundant number, since it is smaller than the sum of its proper divisors (24604032).

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

13153968 is a wasteful number, since it uses less digits than its factorization.

13153968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30466 (or 30454 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13153968 is about 3626.8399468408. The cubic root of 13153968 is about 236.0581107499.

The spelling of 13153968 in words is "thirteen million, one hundred fifty-three thousand, nine hundred sixty-eight".