314891136 has 192 divisors, whose sum is σ = 1096973280. Its totient is φ = 84639744.

The previous prime is 314891069. The next prime is 314891141. The reversal of 314891136 is 631198413.

314891136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 314891136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135940 + ... + 138236.

Almost surely, 2^314891136 is an apocalyptic number.

314891136 is a gapful number since it is divisible by the number (36) 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 314891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548486640).

314891136 is an abundant number, since it is smaller than the sum of its proper divisors (782082144).

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

314891136 is a wasteful number, since it uses less digits than its factorization.

314891136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2326 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 314891136 is about 17745.1721885137. The cubic root of 314891136 is about 680.3308194227.

The spelling of 314891136 in words is "three hundred fourteen million, eight hundred ninety-one thousand, one hundred thirty-six".