14146380 has 192 divisors, whose sum is σ = 49351680. Its totient is φ = 3345408.

The previous prime is 14146369. The next prime is 14146381. The reversal of 14146380 is 8364141.

14146380 is a `hidden beast` number, since 14 + 14 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211107 + ... + 211173.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^14146380 is an apocalyptic number.

14146380 is a gapful number since it is divisible by the number (10) 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 14146380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

14146380 is an abundant number, since it is smaller than the sum of its proper divisors (35205300).

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

14146380 is a wasteful number, since it uses less digits than its factorization.

14146380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14146380 is about 3761.1673719738. The cubic root of 14146380 is about 241.8513076968.

The spelling of 14146380 in words is "fourteen million, one hundred forty-six thousand, three hundred eighty".