314156128 has 72 divisors (see below), whose sum is σ = 730754136. Its totient is φ = 131788800.

The previous prime is 314156119. The next prime is 314156137. The reversal of 314156128 is 821651413.

It is an interprime number because it is at equal distance from previous prime (314156119) and next prime (314156137).

It is a self number, because there is not a number n which added to its sum of digits gives 314156128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56848 + ... + 62128.

It is an arithmetic number, because the mean of its divisors is an integer number (10149363).

Almost surely, 2^314156128 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 314156128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365377068).

314156128 is an abundant number, since it is smaller than the sum of its proper divisors (416598008).

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

314156128 is a wasteful number, since it uses less digits than its factorization.

314156128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5307 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 314156128 is about 17724.4500055714. The cubic root of 314156128 is about 679.8010721456.

The spelling of 314156128 in words is "three hundred fourteen million, one hundred fifty-six thousand, one hundred twenty-eight".