1314139104 has 288 divisors, whose sum is σ = 4159733760. Its totient is φ = 391910400.

The previous prime is 1314139103. The next prime is 1314139111. The reversal of 1314139104 is 4019314131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314139103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10347489 + ... + 10347615.

It is an arithmetic number, because the mean of its divisors is an integer number (14443520).

Almost surely, 2^1314139104 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 1314139104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079866880).

1314139104 is an abundant number, since it is smaller than the sum of its proper divisors (2845594656).

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

1314139104 is a wasteful number, since it uses less digits than its factorization.

1314139104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1314139104 is about 36251.0565914981. The cubic root of 1314139104 is about 1095.3353723465.

The spelling of 1314139104 in words is "one billion, three hundred fourteen million, one hundred thirty-nine thousand, one hundred four".