150414624072 has 192 divisors, whose sum is σ = 438398438400. Its totient is φ = 46479269760.

The previous prime is 150414624067. The next prime is 150414624079. The reversal of 150414624072 is 270426414051.

150414624072 is a `hidden beast` number, since 1 + 50 + 41 + 462 + 40 + 72 = 666.

It is a super-2 number, since 2×150414624072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150414624079) 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 47 ways as a sum of consecutive naturals, for example, 6926143 + ... + 6947825.

It is an arithmetic number, because the mean of its divisors is an integer number (2283325200).

Almost surely, 2^150414624072 is an apocalyptic number.

150414624072 is a gapful number since it is divisible by the number (12) 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 150414624072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219199219200).

150414624072 is an abundant number, since it is smaller than the sum of its proper divisors (287983814328).

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

150414624072 is a wasteful number, since it uses less digits than its factorization.

150414624072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21848 (or 21841 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 150414624072 in words is "one hundred fifty billion, four hundred fourteen million, six hundred twenty-four thousand, seventy-two".