312150144 has 64 divisors (see below), whose sum is σ = 832638240. Its totient is φ = 103612416.

The previous prime is 312150143. The next prime is 312150149. The reversal of 312150144 is 441051213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 312150144.

It is not an unprimeable number, because it can be changed into a prime (312150143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97107 + ... + 100269.

Almost surely, 2^312150144 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 312150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416319120).

312150144 is an abundant number, since it is smaller than the sum of its proper divisors (520488096).

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

312150144 is a wasteful number, since it uses less digits than its factorization.

312150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 312150144 is about 17667.7713365325. The cubic root of 312150144 is about 678.3510681748.

The spelling of 312150144 in words is "three hundred twelve million, one hundred fifty thousand, one hundred forty-four".