313145700 has 144 divisors (see below), whose sum is σ = 1061015424. Its totient is φ = 69811200.

The previous prime is 313145681. The next prime is 313145711. The reversal of 313145700 is 7541313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84282 + ... + 87918.

Almost surely, 2^313145700 is an apocalyptic number.

313145700 is a gapful number since it is divisible by the number (30) 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 313145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530507712).

313145700 is an abundant number, since it is smaller than the sum of its proper divisors (747869724).

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

313145700 is a wasteful number, since it uses less digits than its factorization.

313145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 313145700 is about 17695.9232593273. The cubic root of 313145700 is about 679.0714691282.

The spelling of 313145700 in words is "three hundred thirteen million, one hundred forty-five thousand, seven hundred".