150312240 has 320 divisors, whose sum is σ = 573713280. Its totient is φ = 35942400.

The previous prime is 150312221. The next prime is 150312257. The reversal of 150312240 is 42213051.

150312240 is a `hidden beast` number, since 1 + 503 + 122 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488190 + ... + 1488290.

It is an arithmetic number, because the mean of its divisors is an integer number (1792854).

Almost surely, 2^150312240 is an apocalyptic number.

150312240 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 150312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

150312240 is an abundant number, since it is smaller than the sum of its proper divisors (423401040).

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

150312240 is a wasteful number, since it uses less digits than its factorization.

150312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150312240 is about 12260.1892318186. The cubic root of 150312240 is about 531.6977007573.

Adding to 150312240 its reverse (42213051), we get a palindrome (192525291).

It can be divided in two parts, 15031 and 2240, that added together give a palindrome (17271).

The spelling of 150312240 in words is "one hundred fifty million, three hundred twelve thousand, two hundred forty".