313152000 has 320 divisors, whose sum is σ = 1194994944. Its totient is φ = 71270400.

The previous prime is 313151983. The next prime is 313152011. The reversal of 313152000 is 251313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343884 + ... + 1344116.

Almost surely, 2^313152000 is an apocalyptic number.

313152000 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 313152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597497472).

313152000 is an abundant number, since it is smaller than the sum of its proper divisors (881842944).

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

313152000 is an equidigital number, since it uses as much as digits as its factorization.

313152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

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

The square root of 313152000 is about 17696.1012655330. The cubic root of 313152000 is about 679.0760230484.

The spelling of 313152000 in words is "three hundred thirteen million, one hundred fifty-two thousand".