313538148 has 192 divisors, whose sum is σ = 1041868800. Its totient is φ = 79159680.

The previous prime is 313538143. The next prime is 313538153. The reversal of 313538148 is 841835313.

It is an interprime number because it is at equal distance from previous prime (313538143) and next prime (313538153).

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

It is not an unprimeable number, because it can be changed into a prime (313538143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307183 + ... + 308201.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2^313538148 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 313538148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520934400).

313538148 is an abundant number, since it is smaller than the sum of its proper divisors (728330652).

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

313538148 is a wasteful number, since it uses less digits than its factorization.

313538148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 313538148 is about 17707.0084429866. The cubic root of 313538148 is about 679.3550314736.

The spelling of 313538148 in words is "three hundred thirteen million, five hundred thirty-eight thousand, one hundred forty-eight".