150124320 has 384 divisors, whose sum is σ = 580608000. Its totient is φ = 36080640.

The previous prime is 150124319. The next prime is 150124321. The reversal of 150124320 is 23421051.

It is an interprime number because it is at equal distance from previous prime (150124319) and next prime (150124321).

It is a super-2 number, since 2×150124320² = 45074622910924800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 150124293 and 150124302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150124321) by changing a digit.

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, 2544451 + ... + 2544509.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^150124320 is an apocalyptic number.

150124320 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 150124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

150124320 is an abundant number, since it is smaller than the sum of its proper divisors (430483680).

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

150124320 is a wasteful number, since it uses less digits than its factorization.

150124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

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

The square root of 150124320 is about 12252.5230054875. The cubic root of 150124320 is about 531.4760326275.

Adding to 150124320 its reverse (23421051), we get a palindrome (173545371).

The spelling of 150124320 in words is "one hundred fifty million, one hundred twenty-four thousand, three hundred twenty".