150322842144 has 192 divisors, whose sum is σ = 452381328000. Its totient is φ = 48532193280.

The previous prime is 150322842139. The next prime is 150322842157. The reversal of 150322842144 is 441248223051.

150322842144 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 228 + 421 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 150322842099 and 150322842108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4908672 + ... + 4939200.

It is an arithmetic number, because the mean of its divisors is an integer number (2356152750).

Almost surely, 2^150322842144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150322842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226190664000).

150322842144 is an abundant number, since it is smaller than the sum of its proper divisors (302058485856).

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

150322842144 is a wasteful number, since it uses less digits than its factorization.

150322842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30728 (or 30714 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 150322842144 in words is "one hundred fifty billion, three hundred twenty-two million, eight hundred forty-two thousand, one hundred forty-four".