14138376 has 64 divisors (see below), whose sum is σ = 42163200. Its totient is φ = 3862848.

The previous prime is 14138363. The next prime is 14138381. The reversal of 14138376 is 67383141.

14138376 = T₃₃₆ + T₃₃₇ + ... + T₄₉₆.

14138376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (658800).

Almost surely, 2^14138376 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 14138376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

14138376 is an abundant number, since it is smaller than the sum of its proper divisors (28024824).

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

14138376 is a wasteful number, since it uses less digits than its factorization.

14138376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3694 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 14138376 is about 3760.1031900734. The cubic root of 14138376 is about 241.8056860591.

The spelling of 14138376 in words is "fourteen million, one hundred thirty-eight thousand, three hundred seventy-six".