13417152 has 112 divisors (see below), whose sum is σ = 41452800. Its totient is φ = 3750912.

The previous prime is 13417139. The next prime is 13417171. The reversal of 13417152 is 25171431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13417152² = 360039935582208, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 89974 + ... + 90122.

Almost surely, 2^13417152 is an apocalyptic number.

13417152 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 13417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726400).

13417152 is an abundant number, since it is smaller than the sum of its proper divisors (28035648).

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

13417152 is a wasteful number, since it uses less digits than its factorization.

13417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 13417152 is about 3662.9430790008. The cubic root of 13417152 is about 237.6220727944.

Adding to 13417152 its reverse (25171431), we get a palindrome (38588583).

The spelling of 13417152 in words is "thirteen million, four hundred seventeen thousand, one hundred fifty-two".