13813152 has 48 divisors (see below), whose sum is σ = 38172960. Its totient is φ = 4361472.

The previous prime is 13813147. The next prime is 13813153. The reversal of 13813152 is 25131831.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13813153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963 + ... + 5610.

It is an arithmetic number, because the mean of its divisors is an integer number (795270).

Almost surely, 2^13813152 is an apocalyptic number.

13813152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13813152 is an abundant number, since it is smaller than the sum of its proper divisors (24359808).

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

13813152 is a wasteful number, since it uses less digits than its factorization.

13813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7597 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 13813152 is about 3716.6049023269. The cubic root of 13813152 is about 239.9372057940.

Adding to 13813152 its reverse (25131831), we get a palindrome (38944983).

The spelling of 13813152 in words is "thirteen million, eight hundred thirteen thousand, one hundred fifty-two".