190573152 has 288 divisors, whose sum is σ = 661893120. Its totient is φ = 47416320.

The previous prime is 190573139. The next prime is 190573153. The reversal of 190573152 is 251375091.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190573153) 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, 1500513 + ... + 1500639.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^190573152 is an apocalyptic number.

190573152 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 190573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

190573152 is an abundant number, since it is smaller than the sum of its proper divisors (471319968).

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

190573152 is a wasteful number, since it uses less digits than its factorization.

190573152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 190573152 is about 13804.8235048479. The cubic root of 190573152 is about 575.4671963484.

It can be divided in two parts, 1905 and 73152, that added together give a palindrome (75057).

The spelling of 190573152 in words is "one hundred ninety million, five hundred seventy-three thousand, one hundred fifty-two".