314139540 has 384 divisors, whose sum is σ = 1137991680. Its totient is φ = 63590400.

The previous prime is 314139517. The next prime is 314139577. The reversal of 314139540 is 45931413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314139498 and 314139507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6683797 + ... + 6683843.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^314139540 is an apocalyptic number.

314139540 is a gapful number since it is divisible by the number (30) 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 314139540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

314139540 is an abundant number, since it is smaller than the sum of its proper divisors (823852140).

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

314139540 is a wasteful number, since it uses less digits than its factorization.

314139540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 314139540 is about 17723.9820582171. The cubic root of 314139540 is about 679.7891070348.

The spelling of 314139540 in words is "three hundred fourteen million, one hundred thirty-nine thousand, five hundred forty".