14138280 has 256 divisors, whose sum is σ = 54432000. Its totient is φ = 3234816.

The previous prime is 14138279. The next prime is 14138287. The reversal of 14138280 is 8283141.

It is a super-2 number, since 2×14138280² = 399781922716800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14138287) 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, 266734 + ... + 266786.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 2^14138280 is an apocalyptic number.

14138280 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 14138280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

14138280 is an abundant number, since it is smaller than the sum of its proper divisors (40293720).

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

14138280 is a wasteful number, since it uses less digits than its factorization.

14138280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14138280 is about 3760.0904244446. The cubic root of 14138280 is about 241.8051387686.

The spelling of 14138280 in words is "fourteen million, one hundred thirty-eight thousand, two hundred eighty".