13621152 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 4181760.

The previous prime is 13621151. The next prime is 13621187. The reversal of 13621152 is 25112631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13621151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68349 + ... + 68547.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^13621152 is an apocalyptic number.

13621152 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 13621152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

13621152 is an abundant number, since it is smaller than the sum of its proper divisors (25086048).

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

13621152 is a wasteful number, since it uses less digits than its factorization.

13621152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 13621152 is about 3690.6844893597. The cubic root of 13621152 is about 238.8203221119.

Adding to 13621152 its reverse (25112631), we get a palindrome (38733783).

The spelling of 13621152 in words is "thirteen million, six hundred twenty-one thousand, one hundred fifty-two".