313465152 has 336 divisors, whose sum is σ = 1138318272. Its totient is φ = 74833920.

The previous prime is 313465123. The next prime is 313465181. The reversal of 313465152 is 251564313.

It is an interprime number because it is at equal distance from previous prime (313465123) and next prime (313465181).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345228 + ... + 1345460.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^313465152 is an apocalyptic number.

313465152 is a gapful number since it is divisible by the number (32) 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 313465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

313465152 is an abundant number, since it is smaller than the sum of its proper divisors (824853120).

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

313465152 is a wasteful number, since it uses less digits than its factorization.

313465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 313465152 is about 17704.9471052585. The cubic root of 313465152 is about 679.3023063117.

It can be divided in two parts, 3134 and 65152, that added together give a palindrome (68286).

The spelling of 313465152 in words is "three hundred thirteen million, four hundred sixty-five thousand, one hundred fifty-two".