13414128 has 160 divisors (see below), whose sum is σ = 44330496. Its totient is φ = 3400704.

The previous prime is 13414127. The next prime is 13414157. The reversal of 13414128 is 82141431.

13414128 = T₃₉₇ + T₃₉₈ + ... + T₅₂₂.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13414098 and 13414107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161575 + ... + 161657.

Almost surely, 2^13414128 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 13414128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165248).

13414128 is an abundant number, since it is smaller than the sum of its proper divisors (30916368).

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

13414128 is a wasteful number, since it uses less digits than its factorization.

13414128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 13414128 is about 3662.5302729124. The cubic root of 13414128 is about 237.6042194492.

Adding to 13414128 its reverse (82141431), we get a palindrome (95555559).

The spelling of 13414128 in words is "thirteen million, four hundred fourteen thousand, one hundred twenty-eight".