150312000 has 112 divisors (see below), whose sum is σ = 496409472. Its totient is φ = 40076800.

The previous prime is 150311971. The next prime is 150312007. The reversal of 150312000 is 213051.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (150312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20869 + ... + 27131.

Almost surely, 2^150312000 is an apocalyptic number.

150312000 is a gapful number since it is divisible by the number (10) 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 150312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248204736).

150312000 is an abundant number, since it is smaller than the sum of its proper divisors (346097472).

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

150312000 is an equidigital number, since it uses as much as digits as its factorization.

150312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 150312000 is about 12260.1794440375. The cubic root of 150312000 is about 531.6974177741.

Adding to 150312000 its reverse (213051), we get a palindrome (150525051).

The spelling of 150312000 in words is "one hundred fifty million, three hundred twelve thousand".