314912136 has 256 divisors, whose sum is σ = 1061683200. Its totient is φ = 75398400.

The previous prime is 314912119. The next prime is 314912153. The reversal of 314912136 is 631219413.

314912136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314912119) and next prime (314912153).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317505 + ... + 1317743.

It is an arithmetic number, because the mean of its divisors is an integer number (4147200).

Almost surely, 2^314912136 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 314912136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530841600).

314912136 is an abundant number, since it is smaller than the sum of its proper divisors (746771064).

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

314912136 is a wasteful number, since it uses less digits than its factorization.

314912136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 314912136 is about 17745.7638888835. The cubic root of 314912136 is about 680.3459427759.

The spelling of 314912136 in words is "three hundred fourteen million, nine hundred twelve thousand, one hundred thirty-six".