190242000 has 320 divisors, whose sum is σ = 736619520. Its totient is φ = 46656000.

The previous prime is 190241983. The next prime is 190242007. The reversal of 190242000 is 242091.

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 (190242007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701865 + ... + 702135.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2^190242000 is an apocalyptic number.

190242000 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 190242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368309760).

190242000 is an abundant number, since it is smaller than the sum of its proper divisors (546377520).

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

190242000 is a wasteful number, since it uses less digits than its factorization.

190242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 190242000 is about 13792.8242213116. The cubic root of 190242000 is about 575.1336803238.

190242000 divided by its product of nonzero digits (144) gives a triangular number (1321125 = T₁₆₂₅).

Adding to 190242000 its reverse (242091), we get a palindrome (190484091).

The spelling of 190242000 in words is "one hundred ninety million, two hundred forty-two thousand".