190152 has 48 divisors (see below), whose sum is σ = 546000. Its totient is φ = 59616.

The previous prime is 190147. The next prime is 190159. The reversal of 190152 is 251091.

190152 is digitally balanced in base 2 and base 3, because in such bases 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 (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (190159) by changing a digit.

190152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1299 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (11375).

2¹⁹⁰¹⁵² is an apocalyptic number.

190152 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 190152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273000).

190152 is an abundant number, since it is smaller than the sum of its proper divisors (355848).

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

190152 is a wasteful number, since it uses less digits than its factorization.

190152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

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

The square root of 190152 is about 436.0642154546. The cubic root of 190152 is about 57.5042970954.

It can be divided in two parts, 1901 and 52, that added together give a triangular number (1953 = T₆₂).

The spelling of 190152 in words is "one hundred ninety thousand, one hundred fifty-two".