190152000 has 336 divisors, whose sum is σ = 721156800. Its totient is φ = 47692800.

The previous prime is 190151959. The next prime is 190152007. The reversal of 190152000 is 251091.

190152000 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190152007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367931 + ... + 1368069.

It is an arithmetic number, because the mean of its divisors is an integer number (2146300).

Almost surely, 2^190152000 is an apocalyptic number.

190152000 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 190152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360578400).

190152000 is an abundant number, since it is smaller than the sum of its proper divisors (531004800).

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

190152000 is a wasteful number, since it uses less digits than its factorization.

190152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

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

The square root of 190152000 is about 13789.5612693080. The cubic root of 190152000 is about 575.0429709537.

The spelling of 190152000 in words is "one hundred ninety million, one hundred fifty-two thousand".