312135000 has 80 divisors (see below), whose sum is σ = 975156600. Its totient is φ = 83232000.

The previous prime is 312134993. The next prime is 312135007. The reversal of 312135000 is 531213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312134993) and next prime (312135007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312135007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4596 + ... + 25404.

Almost surely, 2^312135000 is an apocalyptic number.

312135000 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 312135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487578300).

312135000 is an abundant number, since it is smaller than the sum of its proper divisors (663021600).

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

312135000 is a wasteful number, since it uses less digits than its factorization.

312135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20838 (or 20819 counting only the distinct ones).

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

The square root of 312135000 is about 17667.3427543590. The cubic root of 312135000 is about 678.3400979041.

Adding to 312135000 its reverse (531213), we get a palindrome (312666213).

The spelling of 312135000 in words is "three hundred twelve million, one hundred thirty-five thousand".