192553152 has 224 divisors, whose sum is σ = 610965504. Its totient is φ = 52838400.

The previous prime is 192553139. The next prime is 192553157. The reversal of 192553152 is 251355291.

192553152 is digitally balanced in base 3, 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 (33).

It is not an unprimeable number, because it can be changed into a prime (192553157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112938 + ... + 1113110.

Almost surely, 2^192553152 is an apocalyptic number.

192553152 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 192553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305482752).

192553152 is an abundant number, since it is smaller than the sum of its proper divisors (418412352).

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

192553152 is a wasteful number, since it uses less digits than its factorization.

192553152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its digits is 13500, while the sum is 33.

The square root of 192553152 is about 13876.3522584287. The cubic root of 192553152 is about 577.4533130677.

The spelling of 192553152 in words is "one hundred ninety-two million, five hundred fifty-three thousand, one hundred fifty-two".