13753152 has 140 divisors (see below), whose sum is σ = 46715680. Its totient is φ = 3919104.

The previous prime is 13753141. The next prime is 13753171. The reversal of 13753152 is 25135731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 36099 + ... + 36477.

Almost surely, 2^13753152 is an apocalyptic number.

13753152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357840).

13753152 is an abundant number, since it is smaller than the sum of its proper divisors (32962528).

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

13753152 is an equidigital number, since it uses as much as digits as its factorization.

13753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 13753152 is about 3708.5242347867. The cubic root of 13753152 is about 239.5892975823.

Adding to 13753152 its reverse (25135731), we get a palindrome (38888883).

The spelling of 13753152 in words is "thirteen million, seven hundred fifty-three thousand, one hundred fifty-two".