150193120 has 192 divisors, whose sum is σ = 451132416. Its totient is φ = 45895680.

The previous prime is 150193103. The next prime is 150193123. The reversal of 150193120 is 21391051.

150193120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 150193091 and 150193100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150193123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899277 + ... + 899443.

It is an arithmetic number, because the mean of its divisors is an integer number (2349648).

Almost surely, 2^150193120 is an apocalyptic number.

150193120 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 150193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225566208).

150193120 is an abundant number, since it is smaller than the sum of its proper divisors (300939296).

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

150193120 is a wasteful number, since it uses less digits than its factorization.

150193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 150193120 is about 12255.3302689075. The cubic root of 150193120 is about 531.5572097183.

The spelling of 150193120 in words is "one hundred fifty million, one hundred ninety-three thousand, one hundred twenty".