313152 has 56 divisors (see below), whose sum is σ = 950976. Its totient is φ = 89088.

The previous prime is 313151. The next prime is 313153. The reversal of 313152 is 251313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313151) and next prime (313153).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 1460.

2³¹³¹⁵² is an apocalyptic number.

313152 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 313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

313152 is an abundant number, since it is smaller than the sum of its proper divisors (637824).

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

313152 is a wasteful number, since it uses less digits than its factorization.

313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 313152 is about 559.5998570407. The cubic root of 313152 is about 67.9076023048.

Adding to 313152 its reverse (251313), we get a palindrome (564465).

It can be divided in two parts, 313 and 152, that added together give a triangular number (465 = T₃₀).

The spelling of 313152 in words is "three hundred thirteen thousand, one hundred fifty-two".