13733148 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3744000.

The previous prime is 13733147. The next prime is 13733149. The reversal of 13733148 is 84133731.

It is an interprime number because it is at equal distance from previous prime (13733147) and next prime (13733149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13733147) 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 31 ways as a sum of consecutive naturals, for example, 90873 + ... + 91023.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 2^13733148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13733148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

13733148 is an abundant number, since it is smaller than the sum of its proper divisors (24877284).

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

13733148 is a wasteful number, since it uses less digits than its factorization.

13733148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 13733148 is about 3705.8262236646. The cubic root of 13733148 is about 239.4730801053.

Adding to 13733148 its reverse (84133731), we get a palindrome (97866879).

The spelling of 13733148 in words is "thirteen million, seven hundred thirty-three thousand, one hundred forty-eight".