314513136 has 120 divisors (see below), whose sum is σ = 1009563360. Its totient is φ = 89538048.

The previous prime is 314513131. The next prime is 314513153. The reversal of 314513136 is 631315413.

314513136 is a `hidden beast` number, since 3 + 14 + 513 + 136 = 666.

It is a super-3 number, since 3×314513136³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314513131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512766 + ... + 513378.

It is an arithmetic number, because the mean of its divisors is an integer number (8413028).

Almost surely, 2^314513136 is an apocalyptic number.

314513136 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 314513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504781680).

314513136 is an abundant number, since it is smaller than the sum of its proper divisors (695050224).

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

314513136 is a wasteful number, since it uses less digits than its factorization.

314513136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 314513136 is about 17734.5182060297. The cubic root of 314513136 is about 680.0584840126.

Adding to 314513136 its reverse (631315413), we get a palindrome (945828549).

The spelling of 314513136 in words is "three hundred fourteen million, five hundred thirteen thousand, one hundred thirty-six".