315134000 has 80 divisors (see below), whose sum is σ = 802195680. Its totient is φ = 119404800.

The previous prime is 315133979. The next prime is 315134009. The reversal of 315134000 is 431513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 315134000.

It is not an unprimeable number, because it can be changed into a prime (315134009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33854 + ... + 42146.

It is an arithmetic number, because the mean of its divisors is an integer number (10027446).

Almost surely, 2^315134000 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 315134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401097840).

315134000 is an abundant number, since it is smaller than the sum of its proper divisors (487061680).

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

315134000 is a wasteful number, since it uses less digits than its factorization.

315134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 315134000 is about 17752.0139702514. The cubic root of 315134000 is about 680.5056792238.

Adding to 315134000 its reverse (431513), we get a palindrome (315565513).

The spelling of 315134000 in words is "three hundred fifteen million, one hundred thirty-four thousand".