13419136 has 32 divisors (see below), whose sum is σ = 27396180. Its totient is φ = 6543360.

The previous prime is 13419127. The next prime is 13419151. The reversal of 13419136 is 63191431.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 1308736 = 3480^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3970 + ... + 6526.

Almost surely, 2^13419136 is an apocalyptic number.

13419136 is a gapful number since it is divisible by the number (16) 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 13419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698090).

13419136 is an abundant number, since it is smaller than the sum of its proper divisors (13977044).

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

13419136 is an equidigital number, since it uses as much as digits as its factorization.

13419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2600 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 13419136 is about 3663.2138894692. The cubic root of 13419136 is about 237.6337846429.

The spelling of 13419136 in words is "thirteen million, four hundred nineteen thousand, one hundred thirty-six".