150192 has 60 divisors (see below), whose sum is σ = 483600. Its totient is φ = 42624.

The previous prime is 150169. The next prime is 150193. The reversal of 150192 is 291051.

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

It is not an unprimeable number, because it can be changed into a prime (150193) by changing a digit.

150192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 934 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2¹⁵⁰¹⁹² is an apocalyptic number.

150192 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 150192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241800).

150192 is an abundant number, since it is smaller than the sum of its proper divisors (333408).

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

150192 is a wasteful number, since it uses less digits than its factorization.

150192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 150192 is about 387.5461262869. The cubic root of 150192 is about 53.1555888429.

The spelling of 150192 in words is "one hundred fifty thousand, one hundred ninety-two".